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Yudin Vladimir Alexandrovich
(1947–2012)

Statistics Math-Net.Ru
Total publications: 56
Scientific articles: 56
Cited articles: 50
Citations in Math-Net.Ru: 128
Citations in Web of Science: 34
Citations in Scopus: 37
Citations in MathSciNet: 106
Presentations: 1

Number of views:
This page:1480
Abstract pages:9939
Full texts:3816
References:763
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 1.01.1947
Keywords: theory of function, Fourier analysis, discrete mathematics.

Subject:

The extremale problem theory of function, coding theory, discrete geometry. Fourier analysis.

Biography

Graduated from Faculty of Mathematics and Mechanics of N. G. Chernyshevsky Saratov State University (SSU) in 1969. Ph.D. thesis was defended in 1975. D.Sci. thesis was defended in 1991. A list of works contains more than 40 titles.

   
Main publications:
  1. N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51  mathnet  mathscinet  zmath
  2. V. A. Yudin, “Lower bounds for spherical designs”, Izv. Math., 61:3 (1997), 673–683  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

http://www.mathnet.ru/eng/person8483
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:yudin.vladimir-a
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=202155

Full list of publications:
1. A. G. Babenko, V. A. Yudin, “Estimates for mean-square norms of functions with lacunary Fourier series”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 54–66  mathnet
2. V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Ortogonalnye ryady, teoriya priblizhenii i smezhnye voprosy, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Borisa Sergeevicha Kashina, Tr. MIAN, 280, MAIK, M., 2013, 300–303  mathnet  crossref  mathscinet  elib; E. Bannai, Ts. Miezaki, V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Izv. Math., 75:6 (2011), 1093–1106  crossref  crossref  mathscinet  mathscinet  isi  isi  elib  scopus  scopus
3. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Tr. IMM UrO RAN, 18, no. 1, 2012, 82–95  mathnet (cited: 2); A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Proc. Inst. Math. Mech., 280, suppl. 1 (2013), 39–52  crossref  isi (cited: 1)  scopus (cited: 1)
4. E. Bannai, Ts. Miezaki, V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Izv. Math., 75:6 (2011), 1093–1106  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
5. 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
6. V. A. Yudin, “On Polynomials of Least Deviation from Zero”, Math. Notes, 87:5 (2010), 779–783  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
7. V. A. Yudin, “On Bohrs inequality”, Tr. IMM UrO RAN, 16, no. 4, 2010, 312–313  mathnet (cited: 1); V. A. Yudin, “On Bohrs inequality”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), 188–189  crossref  isi  scopus
8. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “On one of Geronimus's results”, Tr. IMM UrO RAN, 16, no. 4, 2010, 54–64  mathnet (cited: 2)  elib (cited: 3); A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “On one of Geronimus's results”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), 37–48  crossref  isi (cited: 1)  scopus
9. V. A. Yudin, “Invariants and Chebyshev polynomials”, Proc. Inst. Math. Mech., 265, suppl. 1 (2009), 227–245  mathnet  crossref  isi
10. V. A. Yudin, “Best approximation to monomials on a cube”, Sb. Math., 199:8 (2008), 1251–1262  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus
11. V. A. Yudin, “On Polynomials of Best Approximation”, Math. Notes, 82:4 (2007), 564–568  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus
12. V. A. Yudin, “Distribution of the points of a design on the sphere”, Izv. Math., 69:5 (2005), 1061–1079  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
13. V. A. Yudin, Mat. Pros., 9, MCCME, Moscow, 2005, 183–188  mathnet
14. V. A. Yudin, “Polynomials of Least Deviation from Zero”, Math. Notes, 78:2 (2005), 279–284  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
15. V. A. Yudin, “Placement of points on a torus and in a plane”, Proc. Inst. Math. Mech., 2005, suppl. 2, S211–S216  mathnet  mathscinet  zmath
16. V. A. Yudin, “On Positive Values of Spherical Harmonics and Trigonometric Polynomials”, Math. Notes, 75:3 (2004), 447–450  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
17. N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45  mathnet  mathscinet  zmath
18. V. A. Yudin, “Positive Values of Polynomials”, Math. Notes, 72:3 (2002), 440–443  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)
19. V. A. Yudin, “The Number of Lattice Points in a Spherical Layer”, Proc. Steklov Inst. Math., 239 (2002), 315–319  mathnet  mathscinet  zmath
20. V. A. Yudin, “Multidimensional Versions of Paley's Inequality”, Math. Notes, 70:6 (2001), 860–865  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
21. V. A. Yudin, “Integral Norms of Trigonometric Polynomials”, Math. Notes, 70:2 (2001), 275–282  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
22. N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51  mathnet  mathscinet  zmath
23. N. N. Andreev, V. A. Yudin, “Best approximation of polynomials on the sphere and on the ball”, Recent progress in multivariate approximation (Witten-Bommerholz, 2000), Internat. Ser. Numer. Math., 137, Birkhäuser, Basel, 2001, 23–30  crossref  mathscinet (cited: 4)  zmath
24. V. A. Yudin, “Rotations of Spherical Designs”, Problems Inform. Transmission, 36:3 (2000), 230–236  mathnet  mathscinet  zmath
25. V. A. Yudin, “On Variations of Designs”, Problems Inform. Transmission, 35:4 (1999), 346–350  mathnet  mathscinet  zmath
26. N. N. Andreev, S. A. Telyakovskii, V. A. Yudin, “Priblizhenie individualnykh funktsii – ot Chebysheva do nashikh dnei”, Rossiiskaya nauka: den nyneshnii i den gryaduschii, Sbornik nauchno-populyarnykh statei, Academia, M., 1999, 12–20
27. N. N. Andreev, V. A. Yudin, “Problems of approximation theory in discrete geometry”, Advances in multivariate approximation (Witten-Bommerholz, 1998), Math. Res., 107, Wiley-VCH, Berlin, 1999, 19–32  mathscinet (cited: 1)  zmath
28. N. N. Andreev, V. A. Yudin, Mat. Pros., 2, MCCME, Moscow, 1998, 133–140  mathnet
29. V. A. Yudin, “An extremum problem for distribution functions”, Math. Notes, 63:2 (1998), 279–282  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus (cited: 1)
30. V. A. Yudin, “Code and design”, Discrete Math. Appl., 7:2 (1997), 147–155  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
31. V. A. Yudin, “Lower bounds for spherical designs”, Izv. Math., 61:3 (1997), 673–683  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 7)
32. N. N. Andreev, V. A. Yudin, Mat. Pros., 1, MCCME, Moscow, 1997, 115–125  mathnet
33. V. A. Yudin, “Extremality properties of functions and designs on the torus”, Math. Notes, 61:4 (1997), 530–533  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
34. V. A. Yudin, “Disposition of Points on a Torus and Extremal Properties of Polynomials”, Proc. Steklov Inst. Math., 219 (1997), 447–457  mathnet  mathscinet  zmath
35. V. A. Yudin, “On trigonometric series with positive partial sums”, Proc. Steklov Inst. Math., 218 (1997), 444–447  mathnet  mathscinet  zmath
36. N. N. Andreev, S. V. Konyagin, S. B. Stechkin, V. A. Yudin, “Konstruktivnaya teoriya funktsii i ekstremalnye zadachi”, Rossiiskaya nauka. Vystoyat i vozroditsya, Nauka, Fizmatlit, M., 1997, 18–23
37. V. A. Yudin, “Two external problems for trigonometric polynomials”, Sb. Math., 187:11 (1996), 1721–1736  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)
38. V. A. Yudin, “Coverings of a sphere, and extremal properties of orthogonal polynomials”, Discrete Math. Appl., 5:4 (1995), 371–379  mathnet  mathscinet  zmath  scopus (cited: 2)
39. A. V. Kolushov, V. A. Yudin, “On the Korkin–Zolotarev construction”, Discrete Math. Appl., 4:2 (1994), 143–146  mathnet  mathscinet  zmath  scopus (cited: 4)
40. V. A. Yudin, “Trigonometric series with positive partial sums”, Math. Notes, 53:3 (1993), 348–350  mathnet  crossref  mathscinet  zmath  isi  scopus
41. V. A. Yudin, “Minimum potential energy of a point system of charges”, Diskret. matem., 4:2 (1992), 115–121  mathnet (cited: 7)  mathscinet (cited: 16)  zmath; V. A. Yudin, “Minimum potential energy of a point system of charges”, Discrete Math. Appl., 3:1 (1993), 75–81  mathscinet  zmath
42. A. A. Yudin, V. A. Yudin, “On Jackson's theorems in $L_2$”, Math. Notes, 48:4 (1990), 1071–1074  mathnet  crossref  mathscinet  zmath  isi  scopus
43. V. A. Yudin, “Riesz transforms and partial derivatives”, Matem. sb., 181:3 (1990), 416–422  mathnet  mathscinet  zmath  adsnasa; V. A. Yudin, “Riesz transforms and partial derivatives”, Math. USSR-Sb., 69:2 (1991), 445–451  crossref  mathscinet  zmath  isi
44. V. A. Yudin, “Packings of balls in Euclidean space, and extremal problems for trigonometric polynomials”, Diskret. matem., 1:2 (1989), 155–158  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; V. A. Yudin, “Packings of balls in Euclidean space, and extremal problems for trigonometric polynomials”, Discrete Math. Appl., 1:1 (1991), 69–72  mathscinet  zmath
45. V. A. Yudin, “Spherical sums of Fourier series in $L_p$”, Math. Notes, 46:2 (1989), 675–680  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus
46. V. A. Yudin, “Jackson's theorems in $L_2$”, Math. Notes, 41:1 (1987), 27–30  mathnet  crossref  mathscinet  zmath  isi  scopus
47. V. A. Yudin, “On the Fourier sums in $L_p$”, Teoriya funktsii i smezhnye voprosy analiza, Trudy konferentsii po teorii funktsii, posvyaschennoi 80-letiyu akademika Sergeya Mikhailovicha NIKOLSKOGO (Dnepropetrovsk, 29 maya–1 iyunya 1985 g.), Tr. MIAN SSSR, 180, Nauka, M., 1987, 235–236  mathnet  zmath; V. A. Yudin, “On the Fourier sums in $L_p$”, Proc. Steklov Inst. Math., 180 (1989), 279–280  zmath
48. A. A. Yudin, V. A. Yudin, “Polygonal Dirichlet Kernels and growth of Lebesgue constants”, Math. Notes, 37:2 (1985), 124–135  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
49. V. A. Yudin, “Disposition of points on a sphere of a Banach space and modulus of continuity of a function”, Math. Notes, 35:1 (1984), 25–32  mathnet  crossref  mathscinet  zmath  isi  scopus
50. V. A. Yudin, “Multidimensional Jackson theorem in $L_2$”, Math. Notes, 29:2 (1981), 158–162  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 3)
51. V. I. Ivanov, V. A. Yudin, “Trigonometric system in $L_p$, $0<p<1$”, Math. Notes, 28:6 (1980), 884–889  mathnet  crossref  mathscinet  zmath  isi  scopus
52. V. A. Yudin, “A lower bound for Lebesgue constants”, Math. Notes, 25:1 (1979), 63–65  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 3)
53. A. A. Yudin, V. A. Yudin, “Discrete imbedding theorems and Lebesgue constants”, Math. Notes, 22:3 (1977), 702–711  mathnet  crossref  mathscinet  zmath  scopus
54. V. A. Yudin, “The multidimensional Jackson theorem”, Math. Notes, 20:3 (1976), 801–804  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
55. V. A. Yudin, “Behavior of Lebesgue constants”, Math. Notes, 17:3 (1975), 233–235  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
56. V. A. Yudin, “The approximation of functions of many variables by their Féjér sums”, Math. Notes, 13:6 (1973), 490–496  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

Presentations in Math-Net.Ru
1. Неравенства Винера–Ингама для лакунарных тригонометрических рядов
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 14:55

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