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 2025 |
| 1. |
Yu. V. Malykhin, K. S. Ryutin, Izv. RAN. Ser. Mat., 89:2 (2025) (to appear)   |
| 2. |
Yu. V. Malykhin, “Kolmogorov widths of the class $W_1^1$”, Mat. Zametki, 117:6 (2025) (to appear) |
| 3. |
Yu. V. Malykhin, Mat. Zametki, 117:5 (2025), 795–798 (to appear) |
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| 2024 |
| 4. |
Yu. V. Malykhin, “Widths and rigidity”, Sb. Math., 215:4 (2024), 543–571      |
| 5. |
I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov, “One-sided discretization inequalities and sampling recovery”, Russian Math. Surveys, 79:3 (2024), 515–545 |
| 6. |
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) |
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| 2023 |
| 7. |
Yuri Malykhin, Evgeny Shchepin, “Search of fractal space-filling curves with minimal dilation”, Discrete Comput. Geom., 70 (2023), 189–213 , arXiv: 2103.07344 ; |
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| 2022 |
| 8. |
Yuri Malykhin, “Matrix and tensor rigidity and $L_p$-approximation”, J. Complexity, 72 (2022), 101651 , 13 pp. ; |
| 9. |
Yuri Malykhin, Konstantin Ryutin, Tatyana Zaitseva, “Recovery of regular ridge functions on the ball”, Constr. Approx., 56 (2022), 687–708 , arXiv: 2102.13203 ; |
| 10. |
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  |
| 11. |
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 |
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| 2021 |
| 12. |
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 |
| 13. |
T. I. Zaitseva, Yu. V. Malykhin, K. S. Ryutin, “On Recovery of Regular Ridge Functions”, Math. Notes, 109:2 (2021), 307–311 |
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| 2020 |
| 14. |
Yu. V. Malykhin, E. V. Shchepin, “Minimal self-similar Peano curve of genus 5$\times$5”, Dokl. Math., 101:2 (2020), 135–138 |
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| 2018 |
| 15. |
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. |
| 16. |
B. S. Kashin, Yu. V. Malykhin, K. S. Ryutin, “Kolmogorov width and approximate rank”, Proc. Steklov Inst. Math., 303 (2018), 140–153 |
| 17. |
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 |
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| 2017 |
| 18. |
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 |
| 19. |
Yu. V. Malykhin, E. V. Shchepin, “Chain development of metric compacts”, Topology Appl., 221 (2017), 624–629 , arXiv: 1604.00848 |
| 20. |
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 |
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| 2016 |
| 21. |
Yu. V. Malykhin, “Relative widths of Sobolev classes in the uniform and integral metrics”, Proc. Steklov Inst. Math., 293 (2016), 209–215 |
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| 2015 |
| 22. |
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 |
| 23. |
Yu. V. Malykhin, E. V. Shchepin, “Chain Development”, Proc. Steklov Inst. Math., 290 (2015), 300–305 |
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| 2014 |
| 24. |
S. V. Konyagin, Yu. V. Malykhin, K. S. Ryutin, “Letter to the Editor”, Math. Notes, 96:3 (2014), 462 |
| 25. |
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 |
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| 2016 |
| 26. |
Yu. V. Malykhin, “Asymptotic properties of Chebyshev splines with fixed number of knots”, J. Math. Sci., 218:5 (2016), 647–663 |
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| 2013 |
| 27. |
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 |
| 28. |
Yu. V. Malykhin, K. S. Ryutin, “On the concentration of measure and the $L^1$-norm”, J. Approx. Theory, 175 (2013), 77–82 |
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| 2012 |
| 29. |
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 |
| 30. |
Yu. V. Malykhin, “Bracketing Entropy and VC-Dimension”, Math. Notes, 91:6 (2012), 800–807 |
| 31. |
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 |
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| 2011 |
| 32. |
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 |
| 33. |
S. V. Konyagin, Yu. V. Malykhin and V. N. Temlyakov, “On basis sets in Banach spaces”, East J. Approx., 17 (2011), 215–220 |
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| 2010 |
| 34. |
Yu. V. Malykhin, “Averaged Modulus of Continuity and Bracket Compactness”, Math. Notes, 87:3 (2010), 440–443 |
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| 2009 |
| 35. |
Yu. V. Malykhin, “Widths related to pseudo-dimension”, Izv. Math., 73:2 (2009), 319–332 |
| 36. |
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 |
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| 2008 |
| 37. |
Yu. V. Malykhin, “Convexity Condition in Cucker–Smale Theorems in the Theory of Teaching”, Math. Notes, 84:1 (2008), 142–146 |
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