Edit Profile (opens in new tab) Malykhin, Yuriĭ Vyacheslavovich Compute Distance To: Compute Author ID: malykhin.yu-v Published as: Malykhin, Yu. V.; Malykhin, Yu V.; Malykhin, Yuri; Malykhin, Yuri V.; Malykhin, Y. V. more...less Further Spellings: Малыхин Юрий Вячеславович External Links: MGP · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 30 Publications since 2006 Co-Authors: 20 Co-Authors with 17 Joint Publications 877 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 Ryutin, Konstantin S. 6 Konyagin, Sergeĭ Vladimirovich 3 Shchepin, Evgenij V. 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 1 Belkina, E. S. 1 Besov, Oleg Vladimirovich 1 Bochkarëv, Sergeĭ Viktorovich 1 D’yachenko, Mikhaĭl Ivanovich 1 Garaev, Moubariz Z. 1 Glubov, B. I. 1 Gonchar, Andreĭ Aleksandrovich 1 Kashin, Boris Sergeevich 1 Kholshchevnikova, Natal’ya Nikolaevna 1 Kozlov, Valeriĭ Vasil’evich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Potapov, Mikhaĭl Konstantinovich 1 Sadovnichiĭ, Viktor Antonovich 1 Temlyakov, Vladimir Nikolaevich 1 Zaitseva, T. I. 1 Zaitseva, Tatyana all top 5 Serials 10 Mathematical Notes 6 Proceedings of the Steklov Institute of Mathematics 2 Journal of Mathematical Sciences (New York) 2 East Journal on Approximations 1 Russian Mathematical Surveys 1 Journal of Approximation Theory 1 Topology and its Applications 1 Journal of Complexity 1 Constructive Approximation 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Problemy Analiza. Issues of Analysis all top 5 Fields 11 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Statistics (62-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 30 times in 26 Documents Cited by ▼ Year ▼ The product of octahedra is badly approximated in the \(\ell_{2,1}\)-metric. Zbl 1371.52008Malykhin, Yu. V.; Ryutin, K. S. 6 2017 Estimates of trigonometric sums modulo \(p^r\). Zbl 1183.11048Malykhin, Yu. V. 5 2006 Asymptotics for the sum of powers of distances between power residues modulo a prime. Zbl 1297.11123Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu. V. 4 2012 On exact recovery of sparse vectors from linear measurements. Zbl 1323.15013Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. 3 2013 Relative widths of Sobolev classes in the uniform and integral metrics. Zbl 1362.46039Malykhin, Yu. V. 2 2016 Kolmogorov width and approximate rank. Zbl 1426.41016Kashin, B. S.; Malykhin, Yu. V.; Ryutin, K. S. 2 2018 Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. 2 2015 Bounds for exponential sums modulo \(p^2\). Zbl 1204.11133Malykhin, Yu. V. 2 2007 Convexity condition in Cucker-Smale theorems in the theory of teaching. Zbl 1219.62191Malykhin, Yu. V. 1 2008 Chain development of metric compacts. Zbl 1373.51004Malykhin, Yu. V.; Shchepin, E. V. 1 2017 Concentration of the \(L_1\)-norm of trigonometric polynomials and entire functions. Zbl 1312.42001Malykhin, Yu V.; Ryutin, K. S. 1 2014 Chain development. Zbl 1336.62188Malykhin, Yu. V.; Shchepin, E. V. 1 2015 Kolmogorov width and approximate rank. Zbl 1426.41016Kashin, B. S.; Malykhin, Yu. V.; Ryutin, K. S. 2 2018 The product of octahedra is badly approximated in the \(\ell_{2,1}\)-metric. Zbl 1371.52008Malykhin, Yu. V.; Ryutin, K. S. 6 2017 Chain development of metric compacts. Zbl 1373.51004Malykhin, Yu. V.; Shchepin, E. V. 1 2017 Relative widths of Sobolev classes in the uniform and integral metrics. Zbl 1362.46039Malykhin, Yu. V. 2 2016 Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. 2 2015 Chain development. Zbl 1336.62188Malykhin, Yu. V.; Shchepin, E. V. 1 2015 Concentration of the \(L_1\)-norm of trigonometric polynomials and entire functions. Zbl 1312.42001Malykhin, Yu V.; Ryutin, K. S. 1 2014 On exact recovery of sparse vectors from linear measurements. Zbl 1323.15013Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. 3 2013 Asymptotics for the sum of powers of distances between power residues modulo a prime. Zbl 1297.11123Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu. V. 4 2012 Convexity condition in Cucker-Smale theorems in the theory of teaching. Zbl 1219.62191Malykhin, Yu. V. 1 2008 Bounds for exponential sums modulo \(p^2\). Zbl 1204.11133Malykhin, Yu. V. 2 2007 Estimates of trigonometric sums modulo \(p^r\). Zbl 1183.11048Malykhin, Yu. V. 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 33 Authors 5 Malykhin, Yuriĭ Vyacheslavovich 4 Shparlinski, Igor E. 3 Konyagin, Sergeĭ Vladimirovich 2 Alimov, Alexey R. 2 Shkredov, Il’ya Dmitrievich 1 Bourgain, Jean 1 Byrenheid, Glenn 1 Dai, Feng 1 Dietmann, Rainer 1 Elsholtz, Christian 1 Ford, Kevin B. 1 Gabdullin, Mikhail R. 1 Goginava, Ushangi 1 Gorbachëv, Dmitriĭ Viktorovich 1 Künzi, Hans-Peter A. 1 Murphy, Brendan 1 Pigno, Vincent 1 Pinner, Christopher G. 1 Romanyuk, Anatolii Sergiiovych 1 Rudnev, Misha 1 Ryutin, Konstantin S. 1 Saatashvili, A. 1 Shchepin, Evgenij V. 1 Shteinikov, Yuri 1 Shteĭnikov, Yuriĭ Nikolaevich 1 Solodkova, E. V. 1 Tiantsoa, Francky Mathieu Solofomananirina 1 Tikhonov, Sergey Yur’evich 1 Toledo, Rodolfo 1 Tsar’kov, Igor’ Germanovich 1 Ullrich, Tino 1 Vasil’eva, Anastasia Andreevna 1 Vyugin, Ilya V. all top 5 Cited in 21 Serials 3 Mathematical Notes 3 Journal of Complexity 2 Topology and its Applications 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Designs, Codes and Cryptography 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Set-Valued and Variational Analysis all top 5 Cited in 12 Fields 10 Number theory (11-XX) 9 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 3 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Citations by Year