Persons: Temlyakov, Vladimir Nikolaevich

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Temlyakov, Vladimir Nikolaevich

Statistics
in MathSciNet:	201 (198)
in zbMATH:	153 (152)
in Web of Science:	109 (106)
in Scopus:	127 (126)

Professor

Doctor of physico-mathematical sciences (1981)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

Website:

https://www.math.sc.edu/people/temlyakov.html

Subject:

Approximations of functions in one variable and multivariable cases (approximations by polynomials, n-widths, optimal cubature formulas). Integral operators (estimates of singular numbers, approximation numbers, bilinear approximation of kernels of these operators).

https://www.mathnet.ru/eng/person18590

https://scholar.google.com/citations?user=4q491GsAAAAJ&hl=en

https://zbmath.org/authors/ai:temlyakov.vladimir-n|temljakov.v-n

https://mathscinet.ams.org/mathscinet/MRAuthorID/206797

https://www.researchgate.net/profile/V_Temlyakov

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	V. N. Temlyakov, “A remark on constructive covering of a ball of finite-dimensional Banach space”, Sb. Math., 216:7 (2025), 965–976
2.	A. P. Solodov, V. N. Temlyakov, “Sampling recovery on function classes with a structural condition”, Math. Notes, 117:4 (2025), 603–616
3.	E. D. Kosov, V. N. Temlyakov, “Sampling recovery of functions with mixed smoothness”, Adv. Oper. Theory, 10 (2025), 49 , 17 pp.
4.	E. D. Kosov, V. N. Temlyakov, “Bounds for the sampling discretization error and their applications to the universal sampling discretization”, J. Complexity, 90 (2025), 101958 , 28 pp.	1 ^[x]
5.	A. V. Gasnikov, V. N. Temlyakov, Mat. Sb.

2025
6.	A. Yu. Shadrin, V. N. Temlyakov, S. Yu. Tikhonov, “Sparse approximation and sampling recovery on function classes with a structural condition”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)
7.	V. N. Temlyakov, “Brief introduction in greedy approximation”, UMN, 80:5(485) (2025), 23–104 ;
8.	B. S. Kashin, S. V. Konyagin, V. N. Temlyakov, V. N. Chubarikov, L. A. Tolokonnikov, N. N. Dobrovol'skii, A. A. Kochetygov, I. M. Burkin, V. P. Baranov, S. A. Skobel'tsyn, E. V. Larkin, D. V. Gorbachev, O. I. Smirnov, N. M. Dobrovol'skii, I. Yu. Rebrova, “Valery Ivanovich Ivanov (7.07.1951 — 2.03.2025)”, Chebyshevskii Sb., 26:1 (2025), 258–262

2024
9.	V. N. Temlyakov, “Rate of convergence of Thresholding Greedy Algorithms”, Sb. Math., 215:2 (2024), 275–289
10.	F. Dai, V. Temlyakov, “Random points are good for universal discretization”, J. Math. Anal. Appl., 529:1 (2024), 127570 , 28 pp.	15 ^[x]
11.	I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov, “One-sided discretization inequalities and sampling recovery”, Russian Math. Surveys, 79:3 (2024), 515–545
12.	Egor Kosov, Vladimir Temlyakov, “Sampling discretization of the uniform norm and applications”, J. Math. Anal. Appl., 538:2 (2024), 128431 , 25 pp., arXiv: 2306.14207	5 ^[x]
13.	V. N. Temlyakov, “Sparse sampling recovery in integral norms on some function classes”, Sb. Math., 215:10 (2024), 1406–1425
14.	Russian Math. Surveys, 79:6 (2024), 975–990

2023
15.	B. Kashin, S. Konyagin, V. Temlyakov, “Sampling discretization of the uniform norm”, Constr. Approx., 57 (2023), 663–694 , arXiv: 2104.01229v2	13 ^[x]
16.	V. N. Temlyakov, “On Universal Sampling Recovery in the Uniform Norm”, Proc. Steklov Inst. Math., 323 (2023), 206–216
17.	F. Dai, E. Kosov, V. Temlyakov, “Some improved bounds in sampling discretization of integral norms”, J. Funct. Anal., 285 (2023), 109951 , 40 pp.	6 ^[x]
18.	F. Dai, V. N. Temlyakov, “Universal Sampling Discretization”, Constr. Approx., 58 (2023), 589–613	9 ^[x]
19.	F. Dai, A. Prymak, A. Yu. Shadrin, V. N. Temlyakov, S. Yu. Tikhonov, “On the cardinality of lower sets and universal discretization”, J. Complexity, 76 (2023), 101726 , 16 pp.	1 ^[x]
20.	V. N. Temlyakov, “Sampling discretization error of integral norms for function classes with small smoothness”, J. Approx. Theory, 293 (2023), 105913–15	2 ^[x]

2022
21.	F. Dai, V. N. Temlyakov, “Sampling Discretization of Integral Norms and Its Application”, Proc. Steklov Inst. Math., 319 (2022), 96–108
22.	V. N. Temlyakov, “Numerical integration and discrepancy under smoothness assumption and without it”, Constr. Approx., 55 (2022), 743–771	1 ^[x]
23.	B. Kashin, E. Kosov, I. Limonova, V. Temlyakov, “Sampling discretization and related problems”, J. Complexity, 71 (2022), 101653 , 55 pp.	37 ^[x]
24.	I. Limonova, V. Temlyakov, “On sampling discretization in $L_2$”, J. Math. Anal. Appl., 515:2 (2022), 126457 , 14 pp.	23 ^[x]
25.	A. V. Dereventsov, V. N. Temlyakov, “Biorthogonal Greedy Algorithms in convex optimization”, Appl. Comput. Harmon. Anal., 60 (2022), 489–511 , arXiv: 2001.05530	14 ^[x]
26.	Vladimir N. Temlyakov, Tino Ullrich, “Approximation of functions with small mixed smoothness in the uniform norm”, J. Approx. Theory, 277 (2022), 105718 , 23 pp., arXiv: 2012.11983	13 ^[x]
27.	Vladimir Temlyakov, “A remark on entropy numbers”, Studia Math., 263 (2022), 199–208 , arXiv: 2008.13030	2 ^[x]
28.	V. I. Berdyshev, O. V. Besov, B. S. Kashin, S. V. Konyagin, Yu. V. Malykhin, K. I. Oskolkov, A. S. Telyakovskii, D. S. Telyakovskii, V. N. Temlyakov, N. N. Kholshchevnikova, “Sergei Aleksandrovich Telyakovskii”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S7–S11
29.	Teoriya priblizhenii, funktsionalnyi analiz i prilozheniya, Sbornik statei. K 70-letiyu akademika Borisa Sergeevicha Kashina, Trudy MIAN, 319, ed. S. V. Konyagin, M. I. Dyachenko, V. N. Temlyakov, M. R. Gabdullin, K. S. Ryutin, MIAN, M., 2022 , 328 pp.

2021
30.	V. N. Temlyakov, “Sampling Discretization of Integral Norms of the Hyperbolic Cross Polynomials”, Proc. Steklov Inst. Math., 312 (2021), 270–281
31.	S. Dilworth, G. Garrigós, E. Hernández, D. Kutzarova, V. Temlyakov, “Lebesgue-type inequalities in greedy approximation”, J. Funct. Anal., 280 (2021), 108885 , 37 pp.	10 ^[x]
32.	A. S. Rubtsova, K. S. Ryutin, V. N. Temlyakov, “On the fixed volume discrepancy of the Korobov point sets”, Sb. Math., 212:8 (2021), 1180–1192
33.	F. Dai, A. Prymak, A. Shadrin, V. Temlyakov, S. Tikhonov, “Entropy numbers and Marcinkiewicz-type discretization”, J. Funct. Anal., 281:6 (2021), 109090 , 25 pp.	22 ^[x]
34.	V. Temlyakov, “On optimal recovery in $L_2$”, J. Complexity, 65 (2021)	36 ^[x]
35.	F. Dai, A. Prymak, A. Shadrin, V. Temlyakov, S. Tikhonov, “Sampling discretization of integral norms”, Constr. Approx., 54:3 (2021), 455–471	18 ^[x]
36.	V. Temlyakov, T. Ullrich, “Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness”, J. Complexity, 67 (2021), 101575 , 19 pp.	22 ^[x]
37.	P. A. Borodin, M. I. Dyachenko, B. S. Kashin, T. P. Lukashenko, I. I. Mel'nikov, V. A. Sadovnichii, B. V. Simonov, V. A. Skvortsov, A. P. Solodov, V. N. Temlyakov, S. Yu. Tikhonov, V. M. Fedorov, “Mikhail Konstantinovich Potapov (on his 90th birthday)”, Russian Math. Surveys, 76:2 (2021), 369–371

2020
38.	V. N. Temlyakov, M. Ullrich, “On the fixed volume discrepancy of the Fibonacci sets in the integral norms”, J. Complexity, 61 (2020), 101472 , 8 pp.	2 ^[x]
39.	L. Burusheva, V. Temlyakov, “Sparse approximation of individual functions”, J. Approx. Theory, 259 (2020), 105471 , 12 pp.	4 ^[x]

2019
40.	V. N. Temlyakov, “Smooth fixed volume discrepancy, dispersion, and related problems”, J. Approx. Theory, 237 (2019), 113–134	4 ^[x]
41.	F. Dai, A. Prymak, V. N. Temlyakov, S. Yu. Tikhonov, “Integral norm discretization and related problems”, Russian Math. Surveys, 74:4 (2019), 579–630
42.	A. V. Dereventsov, V. N. Temlyakov, “A unified way of analyzing some greedy algorithms”, J. Funct. Anal., 277:12 (2019), 108286–30 , arXiv: 1801.06198	15 ^[x]

2018
43.	V.N. Temlyakov, “Universal discretization”, J. Complexity, 47 (2018), 97–109	17 ^[x]
44.	V. N. Temlyakov, “The Marcinkiewicz–type discretization theorems”, Constr. Approx., 48:2 (2018), 337–369	42 ^[x]
45.	B. S. Kashin, V. N. Temlyakov, “Observations on discretization of trigonometric polynomials with given spectrum”, Russian Math. Surveys, 73:6 (2018), 1128–1130
46.	S. J. Dilworth, D. Kutzarova, V. N. Temlyakov, B. Wallis, “Weight-almost greedy bases”, Proc. Steklov Inst. Math., 303 (2018), 109–128
47.	V. Temlyakov, Multivariate approximation, Cambridge Monogr. Appl. Comput. Math., 32, Cambridge University Press, Cambridge, 2018 , 550 pp.
48.	Dinh Dũng, Vladimir Temlyakov, Tino Ullrich, Hyperbolic cross approximation, Advanced Courses in Mathematics - CRM Barcelona, Birkhäuser Basel, Basel, 2018 , xi+218 pp.	123 ^[x]

2017
49.	V. Temlyakov, “On the entropy numbers of the mixed smoothness function classes”, J. Approx. Theory, 217 (2017), 26–56	18 ^[x]
50.	V. Temlyakov, “Constructive Sparse Trigonometric Approximation for Functions with Small Mixed Smoothness”, Constr. Approx., 45 (2017), 467–495	12 ^[x]
51.	V. Temlyakov, S. Tikhonov, “Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials”, Constr. Approx., 46:3 (2017), 593–615	8 ^[x]

2016
52.	V. N. Temlyakov, “Dictionary descent in optimization”, Anal. Math., 42:1 (2016), 69–89	6 ^[x]
53.	V. N. Temlyakov, “Convergence and rate of convergence of some greedy algorithms in convex optimization”, Proc. Steklov Inst. Math., 293 (2016), 325–337
54.	Vladimir Temlyakov, “Incremental greedy algorithm and its applications in numerical integration” (MCQMC, Leuven, Belgium, April 2014), Springer Proc. Math. Statist., 163, 2016, 557–570	4 ^[x]
55.	V. N. Temlyakov, “Sparse approximation by greedy algorithm”, Springer Proc. Math. Statist., 177, 2016, 183–215

2015
56.	V. N. Temlyakov, “Greedy approximation in convex optimization”, Constr. Approx., 41:2 (2015), 269–296	28 ^[x]
57.	D. Bazarkhanov, V. Temlyakov, “Nonlinear tensor product approximation of functions”, J. Complexity, 31:6 (2015), 867–884	7 ^[x]
58.	V. N. Temlyakov, “Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness”, Sb. Math., 206:11 (2015), 1628–1656

2014
59.	V. N. Temlyakov, “Greedy Expansions in Convex Optimization”, Proc. Steklov Inst. Math., 284 (2014), 244–262
60.	V. N. Temlyakov, “Incoherent systems and coverings in finite dimensional Banach spaces”, Sb. Math., 205:5 (2014), 703–721
61.	E. D. Livshitz, V. N. Temlyakov, “Sparse approximation and recovery by greedy algorithms”, IEEE Trans. Inform. Theory, 60:7 (2014), 3989–4000	21 ^[x]
62.	V. N. Temlyakov, “Sparse approximation and recovery by greedy algorithms in Banach spaces”, Forum Math. Sigma, 2 (2014), e12 , 26 pp.	12 ^[x]
63.	G. Kerkyacharian, A. B. Tsybakov, V. N. Temlyakov, D. Picard, V. Koltchinskii, “Optimal exponential bounds on the accuracy of classification”, Constr. Approx., 39:3 (2014), 421–444	2 ^[x]

2013
64.	Proc. Steklov Inst. Math., 280 (2013), 227–239
65.	K. Kazarian, V. N. Temlyakov, “Greedy bases in $L^p$ spaces”, Proc. Steklov Inst. Math., 280 (2013), 181–190
66.	V. N. Temlyakov, “An inequality for the entropy numbers and its application”, J. Approx. Theory, 173 (2013), 110–121	17 ^[x]
67.	D. Bilyk, V. N. Temlyakov, R. Yu, “The $L_2$ discrepancy of two-dimensional lattices”, Recent advances in harmonic analysis and applications, Springer Proc. Math. Stat., 25, Springer, New York, 2013, 63–77	2 ^[x]
68.	V. Temlyakov, “How young we were”, Recent advances in harmonic analysis and applications, Springer Proc. Math. Stat., 25, Springer, New York, 2013, 43–46
69.	K. S. Kazarian, V. N. Temlyakov, “Hilbert spaces of vector-valued functions generated by quadratic forms”, J. Math. Anal. Appl., 402:1 (2013), 334–347
70.	D. Savu, V. N. Temlyakov, “Lebesgue-type inequalities for greedy approximation in Banach spaces”, IEEE Trans. Inform. Theory, 59:2 (2013), 1098–1106	7 ^[x]

2012
71.	D. Bilyk, V. N. Temlyakov and Rui Yu, “Fibonacci sets are good for discrepancy and numerical integration”, J. Complexity, 28:1 (2012), 18–36	14 ^[x]
72.	S. Dilworth, M. Soto-Bajo, and V. N. Temlyakov, Quasi-greedy bases and Lebesgue-type inequalities, IMI Preprint No 02, 2012 , 44 pp.
73.	E. Liu and V. N. Temlyakov, “The orthogonal super greedy algorithm and applications in compressed sensing”, IEEE Trans. Inform. Theory, 58:4 (2012), 2040–2047	161 ^[x]
74.	E. Liu and V. N. Temlyakov, “Super greedy type algorithms”, Adv. Comput. Math., 37:4 (2012), 493–504	8 ^[x]
75.	S. J. Dilworth, M. Soto-Bajo, V. N. Temlyakov, “Quasi-greedy bases and Lebesgue-type inequalities”, Stud. Math., 211:1 (2012), 41–69	23 ^[x]

2011
76.	V. Temlyakov, Greedy approximation, Cambridge Monogr. Appl. Comput. Math., 20, Cambridge University Press, Cambridge, 2011 , xiv+418 pp.
77.	V. N. Temlyakov, Mingrui Yang, Peixin Ye, “Greedy approximation with regard to non-greedy bases,”, Adv. Comput. Math., 34:3 (2011), 319–337	12 ^[x]
78.	V. N. Temlyakov, P. Zheltov, “On performance of greedy algorithms”, J. Approx. Theory, 163:9 (2011), 1134–1145	29 ^[x]
79.	V. N. Temlyakov, Mingrui Yang, Peixin Ye, “Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases”, East J. Approx., 17:2 (2011), 127–138
80.	S. V. Konyagin, Yu. V. Malykhin and V. N. Temlyakov, “On basis sets in Banach spaces”, East J. Approx., 17 (2011), 215–220
81.	J. L. Nelson and V. N. Temlyakov, “On the size of incoherent systems”, J. Approximation Theory, 163:9 (2011), 1238–1245	14 ^[x]

2010
82.	Proc. Steklov Inst. Math., 269 (2010), 247–258

2008
83.	V. N. Temlyakov, “Approximation in learning theory”, Constr. Approx., 27:1 (2008), 33–74	16 ^[x]
84.	V. N. Temlyakov, “Relaxation in greedy approximation”, Constr. Approx., 28:1 (2008), 1–25	21 ^[x]
85.	S. J. Dilworth, D. Kutzarova, K. L. Shuman, V. N. Temlyakov, P. Wojtaszczyk, “Weak convergence of greedy algorithms in Banach spaces”, J. Fourier Anal. Appl., 14:5-6 (2008), 609–628	7 ^[x]
86.	V. N. Temlyakov, “Greedy approximation”, Acta Numer., 17 (2008), 235–409	128 ^[x]
87.	V. Temlyakov, “Convergence of greedy approximation with regard to the trigonometric system”, Topics in classical analysis and applications in honor of Daniel Waterman, World Sci. Publ., Hackensack, NJ, 2008, 161–172
88.	B. S. Kashin, V. N. Temlyakov, “On a Norm and Approximate Characteristics of Classes of Multivariable Functions”, Journal of Mathematical Sciences, 155:1 (2008), 57–80

2007
89.	B. S. Kashin, V. N. Temlyakov, “A Remark on Compressed Sensing”, Math. Notes, 82:6 (2007), 748–755
90.	S. V. Konyagin, V. N. Temlyakov, “The entropy in learning theory. Error estimates”, Constr. Approx., 25:1 (2007), 1–27	16 ^[x]
91.	V. N. Temlyakov, “Greedy expansions in Banach spaces”, Adv. Comput. Math., 26:4 (2007), 431–449	11 ^[x]
92.	D. Donoho, M. Elad, V. N. Temlyakov, “On the Lebesgue type inequalities for greedy approximation”, J. Approx. Theory, 147:2 (2007), 185–195	34 ^[x]
93.	V. N. Temlyakov, “Greedy algorithms with prescribed coefficients”, J. Fourier Anal. Appl., 13:1 (2007), 71–86	7 ^[x]
94.	V. N. Temlyakov, “Universality in approximation and estimation”, Curve and surface fitting: Avignon 2006, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2007, 247–265
95.	V. Temlyakov, “Greedy approximation in Banach spaces”, Banach spaces and their applications in analysis, Proceedings of the conference dedicated to N. Kalton, 60, Walter de Gruyter, Berlin, 2007, 193–208

2006
96.	V. N. Temlyakov, “On Universal Estimators in Learning Theory”, Proc. Steklov Inst. Math., 255 (2006), 244–259
97.	R. DeVore, G. Kerkyacharian, D. Picard, V. Temlyakov, “Approximation methods for supervised learning”, Found. Comp. Math., 6:1 (2006), 3–58	53 ^[x]
98.	D. L. Donoho, M. Elad and V. N. Temlyakov, “Stable recovery of sparse overcomplete representations in the presence of noise”, IEEE Trans. Inform. Theory, 52:1 (2006), 6–18	1555 ^[x]
99.	V. N. Temlyakov, “Optimal estimators in learning theory”, Approximation and probability, Banach Center Publ., 72, Polish Acad. Sci. Inst. Math., Warsaw, 2006, 341–366	7 ^[x]
100.	G. Kerkyacharian, D. Picard, V. N. Temlyakov, “Some inequalities for the tensor product of greedy bases and weight-greedy bases”, East J. Approx., 12:1 (2006), 103–118
101.	V. N. Temlyakov, “Greedy approximations”, Foundations of computational mathematics, Santander 2005, London Math. Soc. Lecture Note Ser., 331, Cambridge Univ. Press, Cambridge, 2006, 371–394
102.	V. N. Temlyakov, “Greedy approximations with regard to bases”, International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, 1479–1504
103.	D. Leviatan and V. N. Temlyakov, “Simultaneous approximation by greedy algorithms”, Adv. Comput. Math., 25:1-3 (2006), 73–90	31 ^[x]

2005
104.	V. N. Temlyakov, “Greedy Algorithms with Restricted Depth Search”, Proc. Steklov Inst. Math., 248 (2005), 255–267
105.	V. N. Temlyakov, “Greedy-type approximation in Banach spaces and applications”, Constr. Approx., 21:2 (2005), 257–292	22 ^[x]
106.	D. Leviatan and V. N. Temlyakov, “Simultaneous greedy approximation in Banach spaces”, J. Complexity, 21:3 (2005), 275–293	8 ^[x]
107.	S. V. Konyagin, V. N. Temlyakov, “Convergence of greedy approximation for the trigonometric system”, Anal. Math., 31:2 (2005), 85–115	3 ^[x]
108.	P. Binev, A. Cohen, W. Dahmen, R. DeVore, V. Temlyakov, “Universal algorithms for learning theory. I. Piecewise constant functions”, J. Mach. Learn. Res., 6 (2005), 1297–1321

2004
109.	A. Kamont and V.N. Temlyakov, “Greedy approximation and the multivariate Haar system”, Studia Math., 161:3 (2004), 199–223	11 ^[x]
110.	V. N. Temlyakov, “A remark on simultaneous greedy approximation”, East J. Approx., 10:1-2 (2004), 17–25
111.	S. V. Konyagin, V. N. Temlyakov, “Some error estimates in Learning Theory”, Approximation theory, A volume dedicated to Borislav Bojanov, Prof. M. Drinov Acad. Publ. House, Sofia, 2004, 126–144

2003
112.	V. N. Temlyakov, “Nonlinear methods of approximation”, Found. Comput. Math., 3:1 (2003), 33–107	176 ^[x]
113.	E. D. Livshitz and V. N. Temlyakov, “Two lower estimates in greedy approximation”, Constr. Approx., 19:4 (2003), 509–523	28 ^[x]
114.	S. J. Dilworth, N. J. Kalton, D. Kutzarova, V. N. Temlyakov, “The thresholding greedy algorithm, greedy bases, and duality”, Constr. Approx., 19:4 (2003), 575–597	96 ^[x]
115.	R. De Vore, G. Petrova, V. Temlyakov, “Best basis selection for approximation in $L_p$”, Found. Comput. Math., 3:2 (2003), 161–185	4 ^[x]
116.	V. N. Temlyakov, “Cubature formulas, discrepancy, and nonlinear approximation”, Numerical integration and its complexity (Oberwolfach, 2001), J. Complexity, 19, no. 3, 2003, 352–391	43 ^[x]
117.	S. V. Konyagin, V. N. Temlyakov, “Convergence of Greedy Approximation I. General Systems”, Studia Math., 159:1 (2003), 143–160	11 ^[x]
118.	S. V. Konyagin, V. N. Temlyakov, “Convergence of greedy approximation. II. The trigonometric system”, Studia Math., 159:2 (2003), 161–184	14 ^[x]
119.	A. Lutoborski, V. N. Temlyakov, “Vector greedy algorithms”, J. Complexity, 19:4 (2003), 458–473	20 ^[x]
120.	B. S. Kashin, V. N. Temlyakov, “The volume estimates and their applications”, East J. Approx., 9:4 (2003), 469–485

2002
121.	V. N. Temlyakov, “Universal bases and greedy algorithms for anisotropic function classes”, Constr. Approx., 18:4 (2002), 529–550	16 ^[x]
122.	V. E. Maiorov, K. I. Oskolkov, V. N. Temlyakov, “Gridge approximation and Radon compass”, Approximation theory, A volume dedicated to Blagovest Sendov, DARBA, Sofia, 2002, 284–309
123.	V. N. Temlyakov, “A criterion for convergence of Weak Greedy Algorithms”, Adv. Comput. Math., 17:3 (2002), 269–280	13 ^[x]
124.	S. J. Dilworth, D. Kutzarova, V. N. Temlyakov, “Convergence of some greedy algorithms in Banach spaces”, J. Fourier Anal. Appl., 8:5 (2002), 489–505	22 ^[x]
125.	V. N. Temlyakov, “Nonlinear approximation with regard to bases”, Approximation theory, X (St. Louis, MO, 2001), Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002, 373–402
126.	S. V. Konyagin and V. N. Temlyakov, “Greedy approximation with regard to bases and general minimal systems”, Serdica Math. J., 28:4 (2002), 305–328

2001
127.	E. D. Livshits, V. N. Temlyakov, “On Convergence of Weak Greedy Algorithms”, Proc. Steklov Inst. Math., 232 (2001), 229–239
128.	V. N. Temlyakov, “Greedy algorithms in Banach spaces”, Adv. Comput. Math., 14:3 (2001), 277–292	57 ^[x]

2000
129.	V. N. Temlyakov, “Greedy algorithms with regard to multivariate systems with special structure”, Constr. Approx., 16:3 (2000), 399–425	37 ^[x]
130.	V. N. Temlyakov, “Weak greedy algorithms”, Adv. Comput. Math., 12:2-3 (2000), 213–227	140 ^[x]

1999
131.	V. N. Temlyakov, “Greedy algorithms and $m$-term approximation with regard to redundant dictionaries”, J. Approx. Theory, 98:1 (1999), 117–145	60 ^[x]
132.	B. S. Kashin, V. N. Temlyakov, “On a norm and approximation characteristics of classes of functions of several variables”, Metric theory of functions and related problems in analysis, eds. S. M. Nikol'skii, Izd. Nauchno-Issled. Aktuarno-Finans. Tsentra (AFTs), Moscow, 1999, 69–99
133.	S. V. Konyagin, V. N. Temlyakov, “A remark on greedy approximation in Banach spaces”, East J. Approx., 5:3 (1999), 365–379
134.	S. V. Konyagin, V. N. Temlyakov, “Rate of convergence of Pure Greedy Algorithm”, East J. Approx., 5:4 (1999), 493–499

1998
135.	B. S. Kashin, V. N. Temlyakov, “On a certain norm and related applications”, Math. Notes, 64:4 (1998), 551–554
136.	V. N. Temlyakov, “Nonlinear Kolmogorov widths”, Math. Notes, 63:6 (1998), 785–795
137.	R. A. DeVore, S. V. Konyagin, V. N. Temlyakov, “Hyperbolic wavelet approximation”, Constr. Approx., 14:1 (1998), 1–26	90 ^[x]
138.	V. N. Temlyakov, “The best $m$-term approximation and greedy algorithms”, Advances in Comp. Math., 8:3 (1998), 249–265	117 ^[x]
139.	V. N. Temlyakov, “Non-linear $m$-term approximation with regard to the multivariate Haar system”, East J. Approx., 4:1 (1998), 87–106
140.	A. V. Andrianov, V. N. Temlyakov, “Best $m$-term approximation of functions from classes $MW^r_{q,\alpha}$”, Approximation theory IX, Vol. I (Nashville, TN, 1998), Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998, 7–14
141.	V. N. Temlyakov, “On two problems in the multivariate approximation”, East J. Approx., 4:4 (1998), 505–514
142.	V. N. Temlyakov, “Greedy algorithm and $m$-term trigonometric approximation”, Constr. Approx., 14:4 (1998), 569–587	69 ^[x]

1997
143.	S. A. Telyakovskii, V. N. Temlyakov, “Convergence of multiple Fourier series for functions of bounded variation”, Math. Notes, 61:4 (1997), 484–494
144.	A. V. Andrianov, V. N. Temlyakov, “On Two Methods of Generalization of Properties of Univariate Function Systems to Their Tensor Product”, Proc. Steklov Inst. Math., 219 (1997), 25–35
145.	R. A. DeVore, V. N. Temlyakov, “Nonlinear approximation in finite-dimensional spaces”, J. Complexity, 13:4 (1997), 489–508	17 ^[x]

1996
146.	R. A. DeVore, V. N. Temlyakov, “Some remarks on greedy algorithms”, Adv. Comput. Math., 5:2-3 (1996), 173–187	392 ^[x]
147.	V. N. Temlyakov, “An Inequality for Trigonometric Polynomials and its Application for Estimating the Kolmogorov Widths”, Corrected reprint of “An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths” [East J. Approx. 2 (1996), no. 1, 89–98], East J. Approx., 2:2 (1996), 253–262

1995
148.	B. S. Kashin, V. N. Temlyakov, “Estimate of approximate characteristics for classes of functions with bounded mixed derivative”, Math. Notes, 58:6 (1995), 1340–1342
149.	R. A. DeVore, V. N. Temlyakov, “Nonlinear approximation by trigonometric sums”, J. Fourier Anal. Appl., 2:1 (1995), 29–48	68 ^[x]
150.	V. N. Temlyakov, “An inequality for trigonometric polynomials and its application for estimating the entropy numbers”, J. Complexity, 11:2 (1995), 193–307	31 ^[x]
151.	V. N. Temlyakov, “Some inequalities for multivariate Haar polynomials”, East J. Approx., 1:1 (1995), 61–72
152.	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

1994
153.	B. S. Kashin, V. N. Temlyakov, “On best $m$-term approximations and the entropy of sets in the space $L_1$”, Math. Notes, 56:5 (1994), 1137–1157
154.	R. A. DeVore, P. P. Petrushev, V. N. Temlyakov, “Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross”, Math. Notes, 56:3 (1994), 900–918

1995
155.	V. N. Temlyakov, “On error estimates for cubature formulas”, Proc. Steklov Inst. Math., 207 (1995), 299–309

1994
156.	R. DeVore, V. N. Temlyakov, “The role of approximation and smoothness spaces in compression and noise removal”, Information theory and statistics (IEEE-IMS Workshop on Statistics), Proceedings, 1994, 52
157.	O. V. Besov, L. D. Kudryavtsev, S. M. Nikol'skii, S. B. Stechkin, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Aleksandrovich Telyakovskii (on his sixtieth birthday)”, Russian Math. Surveys, 49:2 (1994), 189–191

1993
158.	V. N. Temlyakov, Approximation of periodic functions, Comput. Math. Anal. Ser., Nova Science Publishers, Inc., Commack, NY, 1993 , x+419 pp.
159.	V. N. Temlyakov, “Universality of the Fibonacci cubature formulas”, Methods of approximation theory in complex analysis and mathematical physics (Leningrad, 1991), Lecture Notes in Math., 1550, Springer, Berlin, 1993, 178–184
160.	V. N. Temlyakov, “On approximate recovery of functions with bounded mixed derivative”, J. Complexity, 9:1 (1993), 41–59	56 ^[x]

1992
161.	V. N. Temlyakov, “Estimates of best bilinear approximations of functions and approximation numbers of integral operators”, Math. Notes, 51:5 (1992), 510–517

1993
162.	V. N. Temlyakov, “Bilinear approximation and related questions”, Proc. Steklov Inst. Math., 194 (1993), 245–265

1992
163.	V. N. Temlyakov, “On estimates of approximation numbers and best bilinear approximation”, Constr. Approx., 8:1 (1992), 23–33	2 ^[x]

1993
164.	V. N. Temlyakov, “Estimates of the errors of Fibonacci quadrature formulae on classes of functions with bounded derivative”, Proc. Steklov Inst. Math., 200 (1993), 359–367

1991
165.	V. N. Temlyakov, “On Universal Cubature Formulas”, Soviet Math. Dokl., 43 (1991), 39–42

1990
166.	V. N. Temlyakov, “On estimates for the widths of classes of infinitely differentiable functions”, Mat. Zametki, 47:5 (1990), 155–157

1992
167.	V. N. Temlyakov, “On a way of obtaining lower estimates for the errors of quadrature formulas”, Math. USSR-Sb., 71:1 (1992), 247–257
168.	V. N. Temlyakov, “On the behavior of the partial sums, over hyperbolic crosses, of Fourier series of periodic functions of several variables”, Proc. Steklov Inst. Math., 192 (1992), 209–218

1989
169.	V. N. Temlyakov, “Error estimates of quadrature formulas for classes of functions with bounded mixed derivative”, Math. Notes, 46:2 (1989), 663–668

1990
170.	V. N. Temlyakov, “Estimates for the asymptotic characteristics of classes of functions with bounded mixed derivative or difference”, Proc. Steklov Inst. Math., 189 (1990), 161–197
171.	V. N. Temlyakov, “Bilinear approximation and applications”, Proc. Steklov Inst. Math., 187 (1990), 221–248

1989
172.	V. N. Temlyakov, “Approximation of Functions of Several Variables by Trigonometric Polynomials with Harmonics from Hyperbolic Crosses”, Ukranian Math. J., 41 (1989), 451–456

1988
173.	V. N. Temlyakov, “Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skii spaces”, Math. Notes, 43:6 (1988), 444–454

1989
174.	V. N. Temlyakov, “Estimates for the best bilinear approximations of periodic functions”, Proc. Steklov Inst. Math., 181 (1989), 275–293

1988
175.	V. N. Temlyakov, “Best bilinear approximation and connected questions”, Constructive theory of functions (Varna, 1987), Publ. House Bulgar. Acad. Sci., Sofia, 1988, 448–454

1989
176.	V. N. Temlyakov, “On Estimates of $\varepsilon$-Entropy and Widths of Classes of Functions with Bounded Mixed Derivative or Difference”, Soviet Math. Dokl., 38 (1989), 84–87
177.	V. N. Temlyakov, “Estimates of the best bilinear approximations of functions of two variables and some of their applications”, Math. USSR-Sb., 62:1 (1989), 95–109
178.	V. N. Temlyakov, “On estimates of the best bilinear approximations of periodic functions and singular numbers of integral operators”, Proc. Steklov Inst. Math., 180 (1989), 252–253

1987
179.	V. N. Temlyakov, “On the widths of function classes”, Soviet Math. Dokl., 35 (1987), 636–642
180.	V. N. Temlyakov, “Approximation of periodic functions of several variables by bilinear forms”, Math. USSR-Izv., 28:1 (1987), 133–150

1989
181.	V. N. Temlyakov, “Approximations of functions with bounded mixed derivative”, Proc. Steklov Inst. Math., 178 (1989), 1–121

1987
182.	V. N. Temlyakov, “Approximation of periodic functions of several variables by combinations of functions that depend on a smaller number of variables”, Proc. Steklov Inst. Math., 173 (1987), 263–272

1986
183.	V. N. Temlyakov, “On best bilinear approximations of periodic functions of several variables”, Soviet Math. Dokl., 33 (1986), 96–99
184.	V. N. Temlyakov, “Reconstruction of periodic functions of several variables from the values at the nodes of number-theoretic nets”, Anal. Math., 12:4 (1986), 287–305 (in Russian)
185.	V. N. Temlyakov, “Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions”, Math. USSR-Izv., 27:2 (1986), 285–322

1985
186.	V. N. Temlyakov, “Quadrature formulae and recovery of number-theoretical nets from nodal values for classes of functions with small degree of smoothness”, Russian Math. Surveys, 40:4 (1985), 223–224

1987
187.	V. N. Temlyakov, “Approximate recovery of periodic functions of several variables”, Math. USSR-Sb., 56:1 (1987), 249–261
188.	V. N. Temlyakov, “Asymptotic behavior of best approximations of individual functions”, Proc. Steklov Inst. Math., 172 (1987), 341–352

1985
189.	V. N. Temlyakov, “On the approximate reconstruction of periodic functions of several variables”, Soviet Math. Dokl., 31 (1985), 246–249

1986
190.	V. N. Temlyakov, “Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions”, Math. USSR-Izv., 27:2 (1986), 285–322

1984
191.	V. N. Temlyakov, “On the approximation of periodic functions of several variables”, Soviet Math. Dokl., 30 (1984), 659–662

1985
192.	V. N. Temlyakov, “Relations between best approximations of functions analytic in the bidisk”, Proc. Steklov Inst. Math., 164 (1985), 217–224

1983
193.	V. N. Temlyakov, “Approximation of functions with a bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions”, Math. USSR-Izv., 20:1 (1983), 173–187

1982
194.	V. N. Temlyakov, “Widths of some classes of functions of several variables”, Soviet Math Dokl., 26 (1982), 619–622
195.	V. N. Temlyakov, “On absolute summation of Fourier series by subsequences”, Anal. Math., 8:1 (1982), 71–77	4 ^[x]

1981
196.	V. N. Temlyakov, “Approximation of functions from the Lipschitz class by algebraic polynomials”, Math. Notes, 29:4 (1981), 306–309
197.	V. N. Temlyakov, “Relations between best approximations of functions of two variables”, Math. Notes, 29:1 (1981), 51–58

1983
198.	V. N. Temlyakov, “Approximation of continuous functions by trigonometric polynomials”, Proc. Steklov Inst. Math., 157 (1983), 213–228

1980
199.	V. N. Temlyakov, “On the approximation of periodic functions of several variables with bounded mixed difference”, Soviet Math. Dokl., 22 (1980), 131–135

1982
200.	V. N. Temlyakov, “Approximation of periodic functions of several variables with bounded mixed difference”, Math. USSR-Sb., 41:1 (1982), 53–66

1983
201.	V. N. Temlyakov, “Approximation of periodic functions of several variables with a bounded mixed derivative”, Proc. Steklov Inst. Math., 156 (1983), 255–283

1981
202.	V. N. Temlyakov, “On the question of the asymptotic behavior of best approximations of continuous functions”, Math. USSR-Sb., 38:3 (1981), 365–380

1979
203.	V. N. Temlyakov, “Approximation of periodic functions of several variables with bounded mixed derivative”, Soviet Math. Dokl., 20 (1979), 1032–1035

1977
204.	V. N. Temlyakov, “Asymptotic behavior of best approximations of continuous functions”, Math. USSR-Izv., 11:3 (1977), 551–569
205.	V. N. Temlyakov, “Order of growth of the degrees of a polynomial basis of a space of continuous functions”, Math. Notes, 22:5 (1977), 888–898
206.	V. N. Temlyakov, “The localization of approximations of functions by trigonometric polynomials”, Anal. Math., 3:2 (1977), 151–169 , in Russian

1976
207.	V. N. Temljakov, “On the asymptotic behavior of best approximations of continuous functions”, Soviet Math. Dokl., 17 (1976), 739–743
208.	V. N. Temlyakov, “On best approximation of functions of two variables”, Anal. Math., 2:3 (1976), 231–234

1975
209.	V. N. Temljakov, “Best approximations for functions of two variables”, Soviet Math. Dokl., 16 (1975), 1051–1055

1974
210.	V. N. Temlyakov, “On uniqueness of the polynomial of best approximation of the function $\cos kx$ by trigonometric polynomials in the $L$ metric”, Math. Notes, 15:5 (1974), 436–441

Presentations in Math-Net.Ru

1.	On inequalities between different asymptotic characteristics of function classes V. N. Temlyakov Probability Techniques in Analysis and Algorithms on Networks November 24, 2025 12:10
2.	Approximation on classes of functions defined by integral operators V. N. Temlyakov International conference «Selected topics of function theory» dedicated to the 80th anniversary of Eugenie M. Nikishin September 29, 2025 14:30
3.	Приближенное восстановление функций по значениям в точках V. N. Temlyakov XVII International Kazan school-conference "Function Theory, Its Applications and Related Topics" August 25, 2025
4.	Отдел математических основ искусственного интеллекта V. N. Temlyakov Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 13, 2024 12:40
5.	Is there an alternative to neural networks? V. N. Temlyakov Mathematical Foundations of Artificial Intelligence April 24, 2024 17:00
6.	Some mathematical problems related to artificial intelligence V. N. Temlyakov Steklov Mathematical Institute Seminar February 15, 2024 16:00
7.	Односторонние неравенства дискретизации и восстановление по выборке I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences January 29, 2024 17:50
8.	Некоторые неравенства с энтропийными числами V. N. Temlyakov XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences January 28, 2024 11:00
9.	A brief introduction to the theory of greedy approximation. Lecture 4 V. N. Temlyakov Contemporary methods in approximation theory and complex analysis November 16, 2023 16:30
10.	A brief introduction to the theory of greedy approximation. Lecture 3 V. N. Temlyakov Contemporary methods in approximation theory and complex analysis November 16, 2023 15:00
11.	A brief introduction to the theory of greedy approximation. Lecture 1 V. N. Temlyakov Contemporary methods in approximation theory and complex analysis November 14, 2023 16:30
12.	A brief introduction to the theory of greedy approximation. Lecture 1 V. N. Temlyakov Contemporary methods in approximation theory and complex analysis November 14, 2023 15:00
13.	Discretization and recovery V. N. Temlyakov Beijing–Moscow Mathematics Colloquium November 3, 2023 11:00
14.	Rate of convergence of Thresholding Greedy Algorithms V. N. Temlyakov Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 29, 2023 11:00
15.	Дискретизация и нелинейные методы восстановления функции по значениям в точках. V. N. Temlyakov Seminar on Theory of Functions of Real Variables March 17, 2023 18:30
16.	Greedy approximations in Banach spaces V. Temlyakov Approximation and discretization August 30, 2021 10:00
17.	Неравенства типа Лебега в гриди аппроксимации V. N. Temlyakov Seminar on Theory of Functions of Real Variables April 26, 2019 18:30
18.	Теоретическая и прикладная математика. Несколько примеров из многомерного приближения V. N. Temlyakov Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018 July 20, 2018 09:30
19.	Численное интегрирование и смежные вопросы V. N. Temlyakov Seminar on Approximation Theory May 24, 2018 10:30
20.	Дискретизация интегральных норм V. N. Temlyakov Seminar on Theory of Functions of Real Variables March 16, 2018 18:30
21.	Sparse approximation with respect to the trigonometric system V. N. Temlyakov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 27, 2015 10:00

Books in Math-Net.Ru

Approximation Theory, Functional Analysis, and Applications, Collected papers. On the occasion of the 70th birthday of Academician Boris Sergeevich Kashin, Trudy Mat. Inst. Steklova, 319, ed. S. V. Konyagin, M. I. Dyachenko, V. N. Temlyakov, M. R. Gabdullin, K. S. Ryutin, 2022, 328 с.
http://mi.mathnet.ru/book1903
V. N. Temlyakov, Approximations of functions with bounded mixed derivative, Trudy Mat. Inst. Steklov., 178, ed. S. M. Nikol'skii, 1986, 113 с.
http://mi.mathnet.ru/book1159

Organisations