Yu. V. Malykhin, K. S. Ryutin, Izv. RAN. Ser. Mat., 89:2 (2025) (to appear)
2.
Yu. V. Malykhin, “Widths and rigidity”, Sb. Math., 215:4 (2024), 543–571
3.
I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov, “One-sided discretization inequalities and sampling recovery”, Russian Math. Surveys, 79:3 (2024), 515–545
4.
E. V. Shchepin, Yu. V. Malykhin, K. O. Besov, “On Variations of Curves and Compact Sets”, Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, Steklov Mathematical Institute of RAS, Moscow, 2024 (to appear)
Yuri Malykhin, Konstantin Ryutin, Tatyana Zaitseva, “Recovery of regular ridge functions on the ball”, Constr. Approx., 56 (2022), 687–708 , arXiv: 2102.13203
8.
Yu. V. Malykhin, “A complete description of the relative widths of Sobolev classes in the uniform metric”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S188–S192
9.
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
10.
Yuri V. Malykhin, “Kolmogorov Widths of the Besov Classes $B^1_{1,\theta }$ and Products of Octahedra”, Proc. Steklov Inst. Math., 312 (2021), 215–225
11.
T. I. Zaitseva, Yu. V. Malykhin, K. S. Ryutin, “On Recovery of Regular Ridge Functions”, Math. Notes, 109:2 (2021), 307–311
12.
Yu. V. Malykhin, E. V. Shchepin, “Minimal self-similar Peano curve of genus 5$\times$5”, Dokl. Math., 101:2 (2020), 135–138
13.
B. S. Kashin, Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov width and approximate rank”, Proc. Steklov Inst. Math., 303 (2018), 140–153
14.
Yu. V. Malykhin, K. S. Ryutin, “The Product of Octahedra is Badly Approximated in the $\ell_{2,1}$-Metric”, Math. Notes, 101:1 (2017), 94–99 , arXiv: 1606.00738
15.
Yu. V. Malykhin, E. V. Shchepin, “Chain development of metric compacts”, Topology Appl., 221 (2017), 624–629 , arXiv: 1604.00848
E. S. Belkina, Y. V. Malykhin, “Fourier coefficients of continuous functions with respect to localized Haar system”, Probl. anal. Issues Anal., 6(24):1 (2017), 11–18
17.
Yu. V. Malykhin, “Relative widths of Sobolev classes in the uniform and integral metrics”, Proc. Steklov Inst. Math., 293 (2016), 209–215
18.
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
19.
Yu. V. Malykhin, E. V. Shchepin, “Chain Development”, Proc. Steklov Inst. Math., 290 (2015), 300–305
20.
Yu. V. Malykhin, K. S. Ryutin, “Concentration of the $L_1$-norm of trigonometric polynomials and entire functions”, Sb. Math., 205:11 (2014), 1620–1649
21.
Yu. V. Malykhin, “Asymptotic properties of Chebyshev splines with fixed number of knots”, J. Math. Sci., 218:5 (2016), 647–663
22.
S. V. Konyagin, Yu. V. Malykhin, C. S. Rjutin, “On Exact Recovery of Sparse Vectors from Linear Measurements”, Math. Notes, 94:1 (2013), 107–114
23.
Yu. V. Malykhin, K. S. Ryutin, “On the concentration of measure and the $L^1$-norm”, J. Approx. Theory, 175 (2013), 77–82
24.
M. Z. Garaev, S. V. Konyagin, Yu. V. Malykhin, “Asymptotics for the sum of powers of distances between power residues modulo a prime”, Proc. Steklov Inst. Math., 276 (2012), 77–89
25.
Yu. V. Malykhin, “Bracketing Entropy and VC-Dimension”, Math. Notes, 91:6 (2012), 800–807
26.
S. V. Konyagin, Yu. V. Malykhin, “Basis sets in Banach spaces”, Nonlinear analysis: stability, approximation, and inequalities, in honor of Themistocles M. Rassias on the occasion of his 60-th birthday, Springer Optim. Appl., 68, Springer-Verlag, Berlin–Heidelberg–New York, 2012, 381–386
27.
S. V. Konyagin, Yu. V. Malykhin and V. N. Temlyakov, “On basis sets in Banach spaces”, East J. Approx., 17 (2011), 215–220
28.
Yu. V. Malykhin, “Averaged Modulus of Continuity and Bracket Compactness”, Math. Notes, 87:3 (2010), 440–443
29.
Yu. V. Malykhin, “Widths related to pseudo-dimension”, Izv. Math., 73:2 (2009), 319–332
30.
Yu. V. Malykhin, “Upper Bounds for Errors of Estimators in a Problem of Nonparametric Regression: The Adaptive Case and the Case of Unknown Measure $\rho_X$”, Math. Notes, 86:5 (2009), 682–689
31.
Yu. V. Malykhin, “Convexity Condition in Cucker–Smale Theorems in the Theory of Teaching”, Math. Notes, 84:1 (2008), 142–146
32.
Yu. Malykhin, “Tight packing numbers: examples and basic properties”, East J. Approx., 13:2 (2007), 135–152
33.
Yu. V. Malykhin, “Local entropy in learning theory”, Math. Notes, 80:6 (2006), 888–892
34.
Yu. V. Malykhin, “Estimates of trigonometric sums modulo $p^r$”, Math. Notes, 80:5 (2006), 748–752
35.
Yu. V. Malykhin, “Bounds for exponential sums modulo $p^2$”, J. Math. Sci., 146:2 (2007), 5686–5696
Personalia
36.
B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, K. S. Ryutin, I. D. Shkredov, “Sergei Vladimirovich Konyagin turns 60”, Proc. Steklov Inst. Math., 303 (2018), 1–9
37.
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
Miscellaneous
38.
Garmonicheskii analiz, teoriya priblizhenii i teoriya chisel, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Vladimirovicha Konyagina, Trudy MIAN, 303, ed. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, I. D. Shkredov, K. S. Ryutin, MAIK «Nauka/Interperiodika», M., 2018 , 287 pp.
Letters, errata
39.
S. V. Konyagin, Yu. V. Malykhin, K. S. Ryutin, “Letter to the Editor”, Math. Notes, 96:3 (2014), 462; ; ;
Presentations in Math-Net.Ru
1.
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
2.
О распределении элементов специальных матриц малого ранга Yu. V. Malykhin 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 17:30
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
On the concentration of $L_1$ norm Yu. V. Malykhin, K. S. Ryutin International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov November 1, 2013 17:00
Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, ed. B. S. Kashin, Yu. V. Malykhin, V. Yu. Protasov, I. D. Shkredov, K. S. Ryutin, 2018, 287 с. http://mi.mathnet.ru/book1734