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Telyakovskii Sergei Aleksandrovich

Total publications: 143
Scientific articles: 117
in MathSciNet: 117
in zbMATH: 92
in Web of Science: 54
in Scopus: 50
Cited articles: 75
Citations in Math-Net.Ru: 286
Citations in MathSciNet (by Sep 2017): 317
Citations in Web of Science: 45
Citations in Scopus: 75
Presentations: 14

Number of views:
This page:6331
Abstract pages:35808
Full texts:15369
References:1761
Head Scientist Researcher
Doctor of physico-mathematical sciences
E-mail:

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Full list of publications:
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1. S. A. Telyakovskii, “Concerning a sufficient condition of Sidon for the integrability of trigonometric series”, Math. Notes, 14:3 (1973), 742–748  mathnet  crossref  mathscinet  zmath  scopus (cited: 24)
2. S. A. Telyakovskii, “On Partial Sums of Fourier Series of Functions of Bounded Variation”, Proc. Steklov Inst. Math., 219 (1997), 372–381  mathnet  mathscinet  zmath
3. S. A. Telyakovskii, “Integrability conditions for trigonometrical series and their application to the study of linear summation methods of Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964), 1209–1236  mathnet  mathscinet  zmath
4. S. A. Telyakovskii, “Some bounds for trigonometric series with quasi-convex coefficients”, Mat. Sb. (N.S.), 63(105):3 (1964), 426–444  mathnet  mathscinet  zmath
5. Yu. N. Subbotin, S. A. Telyakovskii, “Exact values of relative widths of classes of differentiable functions”, Math. Notes, 65:6 (1999), 731–738  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 5)  scopus (cited: 5)
6. S. A. Telyakovskii, “Two theorems on approximation of functions by algebraic polynomials”, Mat. Sb. (N.S.), 70(112):2 (1966), 252–265  mathnet  mathscinet  zmath
7. S. A. Telyakovskii, “Norms of trigonometric polynomials and approximation of differentiable functions by linear averages of their Fourier series. II”, Izv. Akad. Nauk SSSR Ser. Mat., 27:2 (1963), 253–272  mathnet  mathscinet  zmath
8. S. A. Telyakovskii, “Norms of trigonometrical polynomials and approximation of differentiable functions by averages of their Fourier series. I”, Collection of articles on linear methods of summation of Fourier series, Trudy Mat. Inst. Steklov., 62, Acad. Sci. USSR, Moscow, 1961, 61–97  mathnet  mathscinet  zmath
9. S. A. Telyakovskii, G. A. Fomin, “O skhodimosti v metrike $L$ ryadov Fure s kvazimonotonnymi koeffitsientami”, Teoriya funktsii i ee prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Sergeyu Mikhailovichu Nikolskomu k ego semidesyatiletiyu, Tr. MIAN SSSR, 134, 1975, 310–313  mathnet (cited: 7)  mathscinet (cited: 12)  zmath; S. A. Telyakovskii, G. A. Fomin, “Convergence in the $L$ metric of Fourier series with quasimonotone coefficients”, Proc. Steklov Inst. Math., 134 (1977), 351–355  mathscinet  zmath
10. Yu. N. Subbotin, S. A. Telyakovskii, “Relative widths of classes of differentiable functions in the $L^2$ metric”, Russian Math. Surveys, 56:4 (2001), 767–769  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
11. Yu. N. Subbotin, S. A. Telyakovskii, “Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes”, Sb. Math., 191:8 (2000), 1233–1242  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 6)
12. A. S. Belov, S. A. Telyakovskii, “Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation”, Sb. Math., 198:6 (2007), 777–791  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)
13. S. A. Telyakovskii, “An estimate of the norm of a function by its Fourier coefficients that is suitable in problems of approximation theory”, Proc. Steklov Inst. Math., 109 (1971), 73–109  mathnet  mathscinet  zmath
14. S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation”, East J. Approx., 10:1-2 (2004), 215–218  mathscinet (cited: 9)  zmath
15. S. A. Telyakovskii, “O skhodimosti v metrike $L$ trigonometricheskikh ryadov s redko menyayuschimisya koeffitsientami”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 322–326  mathnet (cited: 3)  mathscinet (cited: 8)  zmath; S. A. Telyakovskii, “On the convergence in $L$-metric of the trigonometric series with scarcely varying coefficients”, Proc. Steklov Inst. Math., 200 (1993), 353–358  mathscinet  zmath
16. S. A. Telyakovskii, “Uniform Convergence of Trigonometric Series with Rarely Changing Coefficients”, Math. Notes, 70:4 (2001), 553–559  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 5)  scopus (cited: 6)
17. S. A. Telyakovskii, “On the Uniform Convergence of the Fourier Series of Functions of Bounded Variation”, Proc. Steklov Inst. Math., 232 (2001), 310–318  mathnet  mathscinet  zmath
18. Ukrainian Math. J., 41:4 (1989), 444–451  crossref  mathscinet  zmath  scopus (cited: 1)
19. S. A. Telyakovskii, “Uniform boundedness of some trigonometric polynomials of many variables”, Math. Notes, 42:1 (1987), 529–533  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
20. S. A. Telyakovskii, “Approximation of differentiable functions by partial sums of their Fourier series”, Math. Notes, 4:3 (1968), 668–673  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
21. S. A. Teljakovskiĭ, “Bounds for the derivatives of trigonometric polynomials of several variables”, Sibirsk. Mat. Ž., 4:6 (1963), 1404–1411  mathscinet  zmath
22. S. A. Telyakovskii, “O skorosti priblizheniya funktsii mnogochlenami Bernshteina”, Tr. IMM UrO RAN, 14, no. 3, 2008, 162–169  mathnet (cited: 6)  elib (cited: 3); S. A. Telyakovskii, “On the rate of approximation of functions by the Bernstein polynomials”, Proc. Inst. Math. Mech., 264, suppl. 1 (2009), 177–184  crossref  isi (cited: 5)  scopus (cited: 5)
23. S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation. II”, Proc. Inst. Math. Mech., 2005no. , suppl. 2, S188–S195  mathnet  mathscinet  zmath  elib
24. Yu. N. Subbotin, S. A. Telyakovskii, “On Relative Widths of Classes of Differentiable Functions”, Proc. Steklov Inst. Math., 248 (2005), 243–254  mathnet  mathscinet  zmath
25. S. A. Telyakovskii, “On the Rate of Convergence of Fourier Series of Functions of Bounded Variation”, Math. Notes, 72:6 (2002), 872–876  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
26. S. A. Telyakovskii, “Approximations to differentiable functions by linear means of their Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 24:2 (1960), 213–242  mathnet  mathscinet  zmath
27. S. A. Telyakovskii, “On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials”, Proc. Steklov Inst. Math., 260 (2008), 279–286  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 1)
28. A. Yu. Popov, S. A. Telyakovskii, “On estimates for partial sums of Fourier series of functions of bounded variation”, Russian Math. (Iz. VUZ), 44:1 (2000), 50–54  mathnet  mathscinet  zmath  elib
29. S. A. Telyakovskii, “O rabotakh po teorii priblizheniya funktsii, vypolnennykh v MIANe”, Teoriya veroyatnostei, teoriya funktsii, mekhanika, Sbornik obzornykh statei 5. K 50-letiyu Instituta, Tr. MIAN SSSR, 182, Nauka, M., 1988, 128–179  mathnet (cited: 5)  mathscinet (cited: 5)  zmath; S. A. Telyakovskii, “Work on the theory of approximation of functions carried out at the V.  A. Steklov Institute of Mathematics”, Proc. Steklov Inst. Math., 182 (1990), 141–197  mathscinet  zmath
30. S. A. Teljakovskiĭ, “The approximation by Fejér sums of functions which satisfy a Lipschitz condition”, Ukrain. Mat. Z̆., 21:3 (1969), 334–343  mathscinet  zmath
31. S. A. Telyakovskii, “Approximation by Bernstein Polynomials at the Points of Discontinuity of the Derivatives”, Math. Notes, 85:4 (2009), 590–596  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
32. S. A. Telyakovskii, V. N. Temlyakov, “Convergence of multiple Fourier series for functions of bounded variation”, Math. Notes, 61:4 (1997), 484–494  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
33. S. A. Telyakovskii, “Otsenki modulya nepreryvnosti v metrike $L$ funktsii odnoi peremennoi cherez koeffitsienty Fure”, Ukr. matem. zhurn., 46 (1994), 626–632  mathscinet (cited: 4)  zmath; S. A. Telyakovskii, “Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of Fourier coefficients”, Ukrainian Math. J., 46:5 (1995), 671–678  crossref  mathscinet  zmath
34. V. A. Baskakov, S. A. Telyakovskii, “Approximation of differentiable functions by Fejér sums”, Math. Notes, 32:2 (1982), 545–550  mathnet  crossref  mathscinet  zmath  isi  scopus
35. S. A. Telyakovskii, “Boundedness of the Series of Absolute Values of Blocks of Sine Series”, Proc. Steklov Inst. Math., 283 (2013), 245–249  mathnet  crossref  crossref  isi  elib
36. Yu. N. Subbotin, S. A. Telyakovskii, “Norms on $L$ of Periodic Interpolation Splines with Equidistant Nodes”, Math. Notes, 74:1 (2003), 100–109  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
37. S. A. Telyakovskii, “Ob usloviyakh integriruemosti kratnykh trigonometricheskikh ryadov”, Ortogonalnye ryady i priblizhenie funktsii, Sbornik statei. Posvyaschaetsya 100-letiyu so dnya rozhdeniya akademika H. N. Luzina, Tr. MIAN SSSR, 164, 1983, 180–188  mathnet (cited: 3)  mathscinet (cited: 3)  zmath; S. A. Telyakovskii, “Conditions for integrability of multiple trigonometric series”, Proc. Steklov Inst. Math., 164 (1985), 205–215  mathscinet  zmath
38. S. A. Teljakovskiĭ, “An asymptotic estimate of the integral of the absolute value of a function given by a sine series”, Sibirsk. Mat. Ž., 8:6 (1967), 1416–1422  mathscinet
39. S. A. Teljakovskii, “Approximation to functions differentiable in Weyl's sense by de la Vallée-Poussin sums”, Soviet Math. Dokl., 1 (1960), 204–243  mathnet  mathscinet  zmath
40. S. A. Telyakovskiĭ, “Approximation of differentiable functions by de la Vallée Poussin's sums”, Dokl. Akad. Nauk SSSR, 121 (1958), 426–429  mathnet  mathscinet  zmath
41. S. A. Telyakovskii, “On the properties of blocks of terms of the series $\sum\frac1k\sin kx$”, Ukr. Math. J., 64:5 (2012), 816–822  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)
42. S. A. Telyakovskii, “The nature of convergence of the Fourier series for functions of bounded variation”, Russian Math. (Iz. VUZ), 54:3 (2010), 42–44  mathnet  crossref  mathscinet  elib  elib  scopus
43. Yu. N. Subbotin, S. A. Telyakovskii, “Sharpening of the estimates for relative widths of classes of differentiable functions”, Proc. Steklov Inst. Math., 269 (2010), 235–246  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
44. Yu. N. Subbotin, S. A. Telyakovskii, “On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions”, Math. Notes, 86:3 (2009), 432–439  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
45. Yu. N. Subbotin, S. A. Telyakovskii, “Approximation of Derivatives by the Derivatives of Interpolating Splines”, Proc. Steklov Inst. Math., 243 (2003), 309–322  mathnet  mathscinet  zmath
46. Yu. N. Subbotin, S. A. Telyakovskii, “Splines and relative widths of classes of differentiable functions”, Proc. Inst. Math. Mech., 2001no. , suppl. 1, S225–S234  mathnet  mathscinet  zmath  elib
47. S. A. Telyakovskiĭ, “On the behavior near the origin of sine series with convex coefficients”, Publ. Inst. Math. (Beograd) (N.S.), 58(72), Slobodan Aljančić memorial volume (1995), 43–50  mathscinet (cited: 2)  zmath
48. L. A. Balashov, S. A. Telyakovskii, “Nekotorye svoistva lakunarnykh ryadov i integriruemost trigonometricheskikh ryadov”, Analiticheskaya teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 143, 1977, 32–41  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; L. A. Balashov, S. A. Telyakovskii, “Some properties of lacunary series and the integrability of trigonometric series”, Proc. Steklov Inst. Math., 143 (1980), 33–43  mathscinet  zmath
49. S. B. Stechkin, S. A. Telyakovskii, “The approximation of differentiable functions by trigonometric polynomials in the $L$ metric”, Proc. Steklov Inst. Math., 88 (1967), 19–29  mathnet  mathscinet  zmath
50. S. A. Telyakovskii, “On the question of the convergence of Fourier series in the metric $L$”, Math. Notes, 1:1 (1967), 59–63  mathnet  crossref  mathscinet  zmath  scopus
51. S. A. Telyakovskii, “Dobavlenie k rabote V. P. Zastavnogo “Otsenki summ iz modulei blokov trigonometricheskikh ryadov Fure””, Tr. IMM UrO RAN, 21, no. 4, 2015, 277–281  mathnet (cited: 1)  elib; S. A. Telyakovskii, “An addition to V.P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series””, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 186–190  crossref  isi  scopus
52. S. A. Telyakovskii, “On the Series of Absolute Values of Blocks of Trigonometric Series”, Proc. Steklov Inst. Math., 284 (2014), 235–243  mathnet  crossref  crossref  isi  elib  elib  scopus
53. S. A. Telyakovskii, “On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$”, Izv. Saratov. Univ. Mat. Mekh. Inform., 13:1(2) (2013), 92–95  mathnet
54. S. A. Telyakovskii, “Estimate of the Simultaneous Approximation of Functions and Their Derivatives by Fourier Sums”, Math. Notes, 90:3 (2011), 464–466  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
55. Yu. N. Subbotin, S. A. Telyakovskii, “On relative widths of classes of differentiable functions. III”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 300–302  mathnet  mathscinet  elib
56. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011), 5–155  mathnet (cited: 1)  mathscinet  zmath
57. A. S. Belov, S. A. Telyakovskii, “Usilenie teoremy Dirikhle–Zhordana o ryadakh Fure funktsii ogranichennoi variatsii”, Dokl. RAN, 412:5 (2007), 583–584  mathnet (cited: 1)  mathscinet  elib (cited: 1)
58. S. A. Telyakovskii, “Estimates of the integral modulus of continuity of functions with rarely changing Fourier coefficients”, Sb. Math., 193:9 (2002), 1333–1347  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
59. S. A. Telyakovskii, “S. M. Nikol'skii's Works on the Theory of Approximation of Functions”, Proc. Steklov Inst. Math., 232 (2001), 13–18  mathnet  mathscinet  zmath
60. S. A. Telyakovskiĭ, “On the behavior of sine series near zero”, Makedon. Akad. Nauk. Umet. Oddel. Mat.-Tehn. Nauk. Prilozi, 21:1-2 (2000), 47–54 (2002)  mathscinet
61. Moscow Univ. Math. Bull., 55:4 (2000), 39–40  mathscinet  zmath  isi  scopus
62. Wang Kunyang, S. A. Telyakovskiĭ, “Differential properties of sums of a class of trigonometric series”, Moscow Univ. Math. Bull., 54:1 (1999), 26–30  mathscinet  zmath  isi
63. S. A. Telyakovskii, “On the works of S. B. Stechkin on approximation of periodic functions by polynomials”, Fundam. Prikl. Mat., 3:4 (1997), 1059–1068  mathnet  mathscinet  zmath
64. S. A. Telyakovskii, “Estimating the integral of the derivative of the sum of a trigonometric series with quasi-convex coefficients”, Sb. Math., 186:11 (1995), 1659–1669  mathnet  crossref  mathscinet  zmath  isi
65. S. A. Telyakovskii, “Localizing the conditions of integrability of trigonometric series”, Proc. Steklov Inst. Math., 210 (1995), 197–204  mathnet  mathscinet  zmath
66. S. A. Telyakovskii, “Nekotorye svoistva ryadov po sinusam s monotonnymi koeffitsientami”, Anal. Math., 18:4 (1992), 307–323  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 3)
67. S. A. Telyakovskii, “Lower bounds of the integral modulus of continuity of a function in terms of its Fourier coefficients”, Math. Notes, 52:5 (1992), 1149–1153  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
68. S. A. Telyakovskii, “Ob integriruemosti ryadov po sinusam”, Mezhdunarodnaya konferentsiya po analiticheskim metodam v teorii chisel i analize (Moskva, 14–19 sentyabrya 1981 g.), Tr. MIAN SSSR, 163, 1984, 229–233  mathnet  mathscinet (cited: 1)  zmath; S. A. Telyakovskii, “Integrability of sine series”, Proc. Steklov Inst. Math., 163 (1985), 269–273  mathscinet  zmath
69. S. A. Telyakovskii, “O priblizhenii funktsii srednimi Chezaro vtorogo poryadka”, Anal. Math., 8:4 (1982), 305–319  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 2)
70. S. A. Telyakovskii, “Uniform-convergence factors for Fourier series of functions with a given modulus of continuity”, Math. Notes, 10:1 (1971), 444–448  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
71. S. A. Telyakovskii, “Quasiconvex uniform-convergence factors for Fourier series of functions with a given modulus of continuity”, Math. Notes, 8:5 (1970), 817–819  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
72. S. A. Telyakovskii, “A problem suggested by R. Boas”, Math. Notes, 5:4 (1969), 263–264  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
73. S. A. Telyakovskii, “Estimates of sums of trigonometric series and polynomials useful in connection with problems in the theory of approximation of functions”, Math. Notes, 1:5 (1967), 404–412  mathnet  crossref  scopus
74. S. A. Telyakovskii, “On norms of linear polynomial operators”, Mat. Sb. (N.S.), 68(110):4 (1965), 561–569  mathnet  mathscinet  zmath
75. S. A. Telyakovskii, “On the Rate of Convergence in $L$ of Fourier Sine Series with Monotone Coefficients”, Math. Notes, 100:3 (2016), 472–476  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
76. Yu. N. Subbotin, S. A. Telyakovskii, “Uniform approximation of curvature of smooth planar curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 254–256  mathnet  crossref  mathscinet  elib
77. Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Math. Notes, 97:4 (2015), 598–604  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
78. S. A. Telyakovskii, “On the Coefficients of Fourier Series Convergent in $L$”, Math. Notes, 98:1 (2015), 189–191  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
79. Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova, “Integrability of the Sum of Absolute Values of Blocks of the Fourier–Walsh Series for Functions of Bounded Variation”, Proc. Steklov Inst. Math., 290 (2015), 306–317  mathnet  crossref  crossref  isi  elib  elib  scopus
80. S. A. Telyakovskii, “O svoistvakh ryadov iz modulei blokov trigonometricheskogo ryada”, Materialy mezhdunarodnoi nauchnoi konferentsii «Teoriya priblizhenii funktsii i rodstvennye zadachi analiza», posvyaschennoi pamyati doktora fiziko-matematicheskikh nauk, professora P. P. Korovkina (Kaluga, 09–10 oktyabrya 2015 g.), Izd-vo Kaluzhskogo gosudarstvennogo universiteta imeni K. E. Tsiolkovskogo, Kaluga, 2015, 71–72  elib
81. A. Yu. Popov, S. A. Telyakovskii, “Estimate for the integral of the absolute value of a sine series with monotone coefficients”, Proc. Steklov Inst. Math., 280 (2013), 263–267  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
82. S. A. Telyakovskii, Lectures on mathematical analysis. Semester III, Lekts. Kursy NOC, 20, Steklov Math. Inst., RAS, Moscow, 2013 , 242 pp.  mathnet  mathnet  mathnet  crossref  zmath  elib
83. S. A. Telyakovskii, “Ryady iz modulei blokov chlenov trigonometricheskogo ryada (obzor)”, Fundament. i prikl. matem., 18:5 (2013), 209–216  mathnet  mathscinet  elib; S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, J. Math. Sci., 209:1 (2015), 152–158  crossref  mathscinet  elib  scopus
84. S. A. Telyakovskii, “On the Gauss test for convergence of series”, Mathematics in Higher Education, 2013, no. 11, 43–44  mathnet
85. Yu. N. Subbotin, S. A. Telyakovskii, “On the relative widths of ellipsoids in Hilbert space”, Math. Notes, 91:3 (2012), 449–452  mathnet  crossref  crossref  isi  elib  elib  scopus
86. S. A. Telyakovskii, Lectures on mathematical analysis. Semester II, Lekts. Kursy NOC, 17, Steklov Math. Inst., RAS, Moscow, 2011 , 194 pp.  mathnet  mathnet  crossref  zmath  elib
87. S. A. Telyakovskii, “O skorosti priblizheniya funktsii v lipshitsevykh normakh”, Tr. IMM UrO RAN, 16, no. 4, 2010, 297–299  mathnet  elib; S. A. Telyakovskii, “On the rate of approximation of functions in Lipschitz norms”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), S160–S162  crossref  isi  scopus
88. S. A. Telyakovskii, Lectures on mathematical analysis. Semester I, Lekts. Kursy NOC, 11, Steklov Math. Inst., RAS, Moscow, 2009 , 212 pp.  mathnet  mathnet  crossref  zmath  elib
89. Yu. N. Subbotin, S. A. Telyakovskii, “K voprosu o ravenstve kolmogorovskikh i otnositelnykh poperechnikov klassov differentsiruemykh funktsii”, Materialy konferentsii Voronezhskoi zimnei matematicheskoi shkoly, 2009, 170
90. O. V. Besov, V. A. Sadovnichii, S. A. Telyakovskii, “On the scientific work of S. M. Nikol'skii”, Russian Math. Surveys, 60:6 (2005), 1005–1020  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
91. S. A. Telyakovskii, “O rabotakh A. V. Efimova po teorii pribizheniya funktsii”, Priblizhenie funktsii. Teoreticheskie i prikladnye aspekty, posvyaschaetsya pamyati professora A. V. Efimova, MIET, M., 2003, 9–16
92. S. A. Telyakovskii, “K voprosu o skhodimosti v metrike $L$ ryadov Fure s redko menyayuschimisya koeffitsientami”, Priblizhenie funktsii. Teoreticheskie i prikladnye aspekty, posvyaschaetsya pamyati professora A. V. Efimova, MIET, M., 2003, 240–243
93. S. A. Telyakovskiĭ, “On Fourier series of functions of bounded variation”, Ukrainian Mathematics Congress—2001, Natsīonal. Akad. Nauk Ukraïni Īnst. Mat., Kiev, 2002, 227–230  mathscinet
94. S. A. Telyakovskii, “On series with monotone terms”, Russian Math. Surveys, 55:2 (2000), 361–362  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
95. S. A. Telyakovskii, “Printsip lokalizatsii Rimana, otsenka skorosti skhodimosti”, Metricheskaya teoriya funktsii i smezhnye voprosy analiza, eds. S. M. Nikolskii, Izd-vo AFTs, M., 1999, 239–244  mathnet  mathscinet  mathscinet; С. А. Теляковский, “Принцип локализации Римана, оценка скорости сходимости”, Теория функций, СМФН, 25, РУДН, М., 2007, 178–181  mathnet  crossref  mathscinet  scopus; S. A. Telyakovskii, “Riemann's Localization Theorem. An Estimate for the Rate of Convergence”, Journal of Mathematical Sciences, 155:1 (2008), 183–187  crossref  mathscinet  elib  scopus
96. S. A. Telyakovskii, “Certain Special Multiple Sine Series”, Proc. Steklov Inst. Math., 227 (1999), 293–304  mathnet  mathscinet  zmath
97. N. N. Andreev,S. A. Telyakovskii, V. A. Yudin, “Approximation of individual functions — from Chebyshev to our days”, Russian science: the present day and the coming day, Academia, Moscow, 1999, 12–20
98. S. A. Telyakovskij, “On the behavior of sine series with convex coefficients near the origin”, Dokl. Math., 56:3 (1997), 913–914  mathnet  mathscinet  zmath  isi  scopus
99. S. A. Telyakovskii, “Vesovye integralnye otsenki dlya lakunarnykh trigonometricheskikh ryadov”, Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K semidesyatiletiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 203, Nauka, M., 1994, 173–183  mathnet  mathscinet  zmath; S. A. Telyakovskii, “Weighted integral estimates for lacunary trigonometric series”, Proc. Steklov Inst. Math., 203 (1995), 157–166  mathscinet  zmath
100. S. A. Telyakovskii, “The integral modulus of continuity of the Dirichlet kernel and the conjugate Dirichlet kernel”, Math. Notes, 54:3 (1993), 940–945  mathnet  crossref  mathscinet  zmath  isi  scopus
101. S. A. Telyakovskii, “O priblizhenii summami Fure differentsiruemykh funktsii vysokoi gladkosti”, Trudy Vsesoyuznoi shkoly po teorii funktsii (Miass, iyul 1989 g.), Tr. MIAN, 198, Nauka, M., 1992, 193–211  mathnet  mathscinet  zmath; S. A. Telyakovskii, “On approximation by Fourier sums of differentiable functions of high smoothness”, Proc. Steklov Inst. Math., 198 (1994), 183–201  mathscinet  zmath
102. S. A. Telyakovskiĭ, “Uniform boundedness of trigonometric polynomials in several variables of a special type”, Translated from the Russian by Jerzy Trzeciak, Approximation and function spaces (Warsaw, 1986), Banach Center Publ., 22, PWN, Warsaw, 1989, 465–470  mathscinet
103. S. A. Telyakovskii, “Integrability of the monotone majorant of the sum of a trigonometric series with quasiconvex coefficients”, Math. Notes, 46:2 (1989), 658–663  mathnet  crossref  mathscinet  zmath  isi  scopus
104. S. A. Telyakovskii, “O priblizhenii funktsii zadannykh klassov summami Fure”, Teoriya funktsii i approksimatsii (Saratov, 1986), Ch. 1, Saratov. Gos. Univ., Saratov, 1987, 67–75  mathscinet  zmath
105. S. A. Telyakovskii, “Teoriya priblizheniya funktsii mnogochlenami”, Ocherki razvitiya matematiki v SSSR, Naukova dumka, Kiev, 1983, 237–251  mathscinet
106. S. A. Telyakovskii, “O priblizhenii differentsiruemykh funktsii srednimi Chezaro vtorogo poryadka”, Konstruktivnaya teoriya funktsii 1981 (Varna, 1981), Publ. House Bulgar. Acad. Sci., Sofia, 1983, 168–170  mathscinet
107. S. A. Telyakovskii, “O priblizhenii funktsii klassa $\overline W^1$ srednimi Chezaro”, Teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego k ego devyanostoletiyu, Tr. MIAN SSSR, 157, 1981, 191–197  mathnet  mathscinet  zmath; S. A. Telyakovskii, “Approximation of functions of class $\overline W^1$ by Cesàro means”, Proc. Steklov Inst. Math., 157 (1983), 205–211  mathscinet  zmath
108. S. A. Telyakovskii, Sbornik zadach po teorii funktsii deistvitelnogo peremennogo, Nauka, M., 1980 , 112 pp.  mathscinet
109. S. A. Teljakovskiĭ, “On integrability of lacunary trigonometric series with weight”, Acta Math. Acad. Sci. Hungar., 33:1-2 (1979), 217–222  crossref  mathscinet  zmath  isi  scopus (cited: 1)
110. L. A. Balasov, S. A. Telyakovskii, “Integrability of trigonometric series such that the sequence of second differences of the coefficients is lacunary”, Siberian Math. J., 19:5 (1978), 694–697  crossref  mathscinet  zmath  isi  scopus
111. S. A. Telyakovskii, “Integrability of trigonometric series. The estimation of the integral modulus of continuity”, Math. USSR-Sb., 20:4 (1973), 557–573  mathnet  crossref  mathscinet  zmath
112. S. A. Telyakovskii, “Integriruemost mazhoranty chastnykh summ trigonometricheskogo ryada s kvazivypuklymi koeffitsientami”, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), Akadémiai Kiadó, Budapest, 1972, 477–502  mathscinet
113. K. I. Oskolkov, S. A. Teljakovskiĭ, “On the estimates of P. L. Ul'janov for integral moduli of continuity”, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 6:5 (1971), 406–411  mathscinet
114. S. A. Teljakovskiĭ, “An estimate of the integral modulus of continuity of functions with quasiconvex Fourier coefficients”, Sibirsk. Mat. Z̆., 11:5 (1970), 1140–1145  mathscinet
115. S. A. Telyakovskii, “Integriruemost mazhoranty chastnykh summ trigonometricheskogo ryada s kvazivypuklymi koeffitsientami”, Dokl. AN SSSR, 192 (1970), 514–515  mathscinet
116. S. A. Telyakovskii, “Ob odnom voprose P. Erdesha”, Ann. Polon. Math., 15 (1964), 303–304  mathscinet
117. S. A. Telyakovskii, “On convergence of series from blocks of term of a Fourier series of two variable function of bounded variation”, Mat. Zametki (to appear)  mathnet
118. O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327  mathnet  crossref  mathscinet  adsnasa  isi
119. V. V. Arestov, V. I. Berdyshev, O. V. Besov, N. N. Krasovskii, S. M. Nikol'skii, S. I. Novikov, Yu. S. Osipov, S. A. Telyakovskii, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (on his 70th birthday)”, Russian Math. Surveys, 62:2 (2007), 403–406  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
120. A. Andreev, V. I. Berdyshev, B. Bojanov, B. S. Kashin, S. V. Konyagin, S. M. Nikol'skii, K. I. Oskolkov, P. Petrushev, Bl. Sendov, S. A. Telyakovskii, V. N. Temlyakov, “In memory of Sergei Borisovich Stechkin [1920–1995]”, East J. Approx., 2:2 (1996), 131–133  mathscinet (cited: 2)
121. O. V. Besov, V. M. Buchstaber, A. G. Vitushkin, A. A. Gonchar, S. V. Konyagin, L. D. Kudryavtsev, S. M. Nikol'skii, S. P. Novikov, Yu. S. Osipov, A. Yu. Popov, V. A. Sadovnichii, A. F. Sidorov, Yu. N. Subbotin, S. A. Telyakovskii, P. L. Ul'yanov, N. I. Chernykh, “Sergei Borisovich Stechkin (obituary)”, Russian Math. Surveys, 51:6 (1996), 1007–1014  mathnet  crossref  crossref  mathscinet  adsnasa  isi
122. B. I. Golubov, S. M. Nikol'skii, S. A. Telyakovskii, P. L. Ul'yanov, “Károly Tandori (obituary)”, Russian Math. Surveys, 61:1 (2006), 161–164  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
123. S. M. Nikol'skii, A. S. Pospelov, S. A. Telyakovskii, P. L. Ul'yanov, S. V. Umnayshkin, Yu. A. Chaplygin, “Alexandr Vasil'evich Efimov (obituary)”, Russian Math. Surveys, 57:3 (2002), 573–575  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
124. Yu. A. Mitropol'skii, S. M. Nikol'skii, A. M. Samoilenko, S. A. Telyakovskii, “Nikolai Pavlovich Korneichuk (on his 80th birthday)”, Russian Math. Surveys, 55:6 (2000), 1205–1207  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
125. D. P. Zhelobenko, S. M. Nikol'skii, S. A. Telyakovskii, “Béla Szőkefalvi-Nagy (obituary)”, Russian Math. Surveys, 54:4 (1999), 819–822  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)
126. S. V. Konyagin, S. A. Telyakovskii, “In memory of Sergei Borisovich Stechkin”, Fundam. Prikl. Mat., 3:4 (1997), 955–957  mathnet  mathscinet  zmath
127. L. D. Kudryavtsev, S. M. Nikol'skii, A. S. Pospelov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, “Aleksandr Vasil'evich Efimov (on his seventieth birthday)”, Russian Math. Surveys, 51:3 (1996), 581–583  mathnet  crossref  crossref  mathscinet  adsnasa  isi
128. L. D. Kudryavtsev, S. M. Nikol'skii, D. V. Prokhorov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, A. P. Khromov, V. A. Yurko, “Nikolai Petrovich Kuptsov (obituary)”, Russian Math. Surveys, 50:4 (1995), 727–729  mathnet  crossref  mathscinet  adsnasa  isi
129. S. M. Nikol'skii, L. D. Kudryavtsev, O. V. Besov, S. I. Pokhozhaev, S. A. Telyakovskii, V. A. Il'in, V. I. Burenkov, S. B. Stechkin, N. V. Miroshin, V. S. Kryuchkov, “Petr Ivanovich Lizorkin (obituary)”, Russian Math. Surveys, 49:3 (1994), 177–179  mathnet  crossref  mathscinet  adsnasa  isi
130. V. S. Vladimirov, A. A. Gonchar, L. D. Kudryavtsev, S. M. Nikol'skii, S. A. Telyakovskii, P. L. Ul'yanov, “Sergei Borisovich Stechkin (on his seventieth birthday)”, Russian Math. Surveys, 46:3 (1991), 255–258  mathnet  crossref  mathscinet  adsnasa  adsnasa  isi
131. K. I. Oskolkov, S. B. Stečkin, S. A. Teljakovskiĭ, “Petr Vasil'evič Galkin”, Math. Notes, 10 (1971), 787–789  mathnet (cited: 1)  crossref  mathscinet  zmath
132. O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
133. O. V. Besov, S. V. Bochkarev, B. I. Golubov, A. A. Gonchar, M. I. D'yachenko, V. V. Kozlov, S. V. Konyagin, Yu. V. Malykhin, S. M. Nikol'skii, M. K. Potapov, V. A. Sadovnichii, S. A. Telyakovskii, “Boris Sergeevich Kashin (on his 60th birthday)”, Russian Math. Surveys, 66:4 (2011), 825–828  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
134. Yu. N. Subbotin, S. A. Telyakovskii, “Letter to the Editor”, Math. Notes, 87:3 (2010), 452  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
135. N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov, “International conference “Approximation theory” (Moscow, 23–26 august 2010)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 314–315  mathnet  elib
136. V. I. Berdyshev, V. A. Kaminsky, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Shmatkov, “Alexandr L'vovich Garkavi (obituary)”, Russian Math. Surveys, 63:3 (2008), 547–549  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
137. O. V. Besov, M. S. Nikolskii, S. I. Pokhozhaev, S. A. Telyakovskii, “Sergei Mikhailovich Nikolskii”, S. M. Nikolskii, Izbrannye trudy, v. 1, Nauka, M., 2006, 7–29
138. V. I. Ivanov, B. S. Kashin, S. A. Telyakovskii, “International Conference “Approximation Theory and Harmonic Analysis””, Uspekhi Mat. Nauk, 54:2(326) (1999), 205–207  mathnet  crossref
139. V. I. Berdyshev, V. F. Kolchin. B. S. Stechkin, Yu. N. Subbotin, S. A. Telyakovskii, N. I. Chernykh, “Sergei Borisovich Stechkin. Shtrikhi k portretu”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 5–14
140. S. A. Telyakovskii, V. M. Tikhomirov, “Kommentarii k razdelu I (teoriya priblizheniya funktsii)”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 364–366
141. S. A. Telyakovskii, N. I. Chernykh, “Kommentarii k razdelu II (trigonometricheskie i ortogonalnye ryady)”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 366–368
142. S. A. Telyakovskii, V. M. Tikhomirov, “Teoriya priblizhenii”, Kommentarii v kn.: A. N. Kolmogorov, Matematika i mekhanika. Izbr. trudy, Nauka, M., 1985, 382–386
143. S. A. Telyakovskii, “On approximation theory: Eds. P. L. Butzer and J. Korevaar, Basel-Stuttgart, Birkhäuser, 1964, XVI+261pp.”, U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 301–302  mathnet  crossref

Presentations in Math-Net.Ru
1. О сходимости ряда блоков членов рядов Фурье функций двух переменных ограниченной вариации
S. A. Telyakovskii
Seminar on Approximation Theory
April 13, 2017 10:30
2. О скорости сходимости в $L$ рядов Фурье по синусам с монотонными коэффициентами
S. A. Telyakovskii
Seminar on Approximation Theory
October 29, 2015 10:30
3. Сходимость по блокам рядов Фурье–Уолша
Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 12:20   
4. About the works of S. M. Nikol'ski
O. V. Besov, S. A. Telyakovskii
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 11:20   
5. Об интегрируемости сумм модулей блоков членов тригонометрических рядов
S. A. Telyakovskii
Seminar on Approximation Theory
April 30, 2015 10:30
6. Оценки норм ядер Дирихле-Уолша
Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova
Seminar on Approximation Theory
February 19, 2015 10:30
7. О нормах ядер Фавара
Yu. N. Subbotin, S. A. Telyakovskii
Seminar on Approximation Theory
November 13, 2014 10:30
8. О рядах из модулей блоков членов ряда по системе Уолша
Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova
Seminar on Approximation Theory
October 30, 2014 10:30
9. О рядах из модулей блоков членов тригонометрического ряда
S. A. Telyakovskii
Traditional winter session MIAN–POMI devoted to the topic "Harmonic Analysis and Theory of Functions"
December 23, 2013 16:00   
10. О работах Сергея Александровича Теляковского
N. N. Pustovoitov, Yu. N. Subbotin, S. A. Telyakovskii
Seminar on Approximation Theory
December 20, 2012 10:30   
11. О ряде из модулей блоков членов ряда по синусам (перенесено с 8.11)
S. A. Telyakovskii
Seminar on Approximation Theory
November 22, 2012 10:30
12. Свойства блоков членов ряда $\sum \frac{1}{k} \sin kx$
S. A. Telyakovskii
Seminar on Approximation Theory
December 15, 2011 10:30
13. О рядах по синусам с монотонными коэффициентами
A. Yu. Popov, S. A. Telyakovskii
Seminar on Approximation Theory
December 1, 2011 10:30
14. Opening ceremony of the conference “Approximation Theory” dedicated to the 90-th anniversary of the birth of S. B. Stechkin
A. G. Sergeev, S. A. Telyakovskii, Yu. N. Subbotin, V. M. Tikhomirov, B. H. Sendov, Yu. L. Averbakh, B. S. Kashin
International conference "Approximation Theory" dedicated to the 90-th anniversary of the birth of Sergey Borisovich Stechkin (1920–1995)
August 23, 2010 10:00   

Books in Math-Net.Ru
  1. S. A. Telyakovskii, Lectures on mathematical analysis. Semester III, Lekts. Kursy NOC, 20, 2013, 242 с.
    http://mi.mathnet.ru/book1473
  2. S. A. Telyakovskii, Lectures on mathematical analysis. Semester II, Lekts. Kursy NOC, 17, 2011, 194 с.
    http://mi.mathnet.ru/book1347
  3. S. A. Telyakovskii, Lectures on mathematical analysis. Semester I, Lekts. Kursy NOC, 11, 2009, 212 с.
    http://mi.mathnet.ru/book942

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