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
2.
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
3.
Yu. V. Malykhin, “Estimates of trigonometric sums modulo $p^r$”, Math. Notes, 80:5 (2006), 748–752
4.
I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov, “One-sided discretization inequalities and sampling recovery”, Russian Math. Surveys, 79:3 (2024), 515–545
5.
B. S. Kashin, Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov width and approximate rank”, Proc. Steklov Inst. Math., 303 (2018), 140–153
6.
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
7.
Yu. V. Malykhin, “Bounds for exponential sums modulo $p^2$”, J. Math. Sci., 146:2 (2007), 5686–5696
8.
Yu. V. Malykhin, “Widths and rigidity”, Sb. Math., 215:4 (2024), 543–571
9.
Yuri Malykhin, “Matrix and tensor rigidity and $L_p$-approximation”, J. Complexity, 72 (2022), 101651 , 13 pp.
Yu. V. Malykhin, “Relative widths of Sobolev classes in the uniform and integral metrics”, Proc. Steklov Inst. Math., 293 (2016), 209–215
11.
Yu. V. Malykhin, K. S. Ryutin, “Widths and rigidity of unconditional sets and random vectors”, Izv. Math., 89:2 (2025), 261–273
12.
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
13.
Yuri Malykhin, Konstantin Ryutin, Tatyana Zaitseva, “Recovery of regular ridge functions on the ball”, Constr. Approx., 56 (2022), 687–708 , arXiv: 2102.13203
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
26.
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
27.
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
28.
Yu. V. Malykhin, K. S. Ryutin, “On the concentration of measure and the $L^1$-norm”, J. Approx. Theory, 175 (2013), 77–82
29.
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
30.
S. V. Konyagin, Yu. V. Malykhin and V. N. Temlyakov, “On basis sets in Banach spaces”, East J. Approx., 17 (2011), 215–220
31.
Yu. V. Malykhin, “Widths related to pseudo-dimension”, Izv. Math., 73:2 (2009), 319–332
32.
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
33.
Yu. Malykhin, “Tight packing numbers: examples and basic properties”, East J. Approx., 13:2 (2007), 135–152
34.
Yu. V. Malykhin, “Local entropy in learning theory”, Math. Notes, 80:6 (2006), 888–892
35.
Yu. V. Malykhin, “Kolmogorov widths of the class $W_1^1$”, Math. Notes, 117:6 (2025), 1034–1039
36.
Yu. V. Malykhin, “On the structure of low-rank matrices that approximate the identity matrix”, Math. Notes, 117:5 (2025), 880–884
37.
Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov widths of balls in mixed norms: the case of rigidity”, Trudy Mat. Inst. Steklova, 331, 2025 (to appear)
38.
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)
39.
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
40.
S. V. Konyagin, Yu. V. Malykhin, K. S. Ryutin, “Letter to the Editor”, Math. Notes, 96:3 (2014), 462
41.
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
42.
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.
Поперечники классов функций критической гладкости Yu. V. Malykhin Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics April 9, 2025 16:00
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
9.
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
