Edit Profile (opens in new tab) Malykhin, Yuriĭ Vyacheslavovich Co-Author Distance Author ID: malykhin.yu-v Published as: Malykhin, Yu. V.; Malykhin, Yuri; Malykhin, Yuri V.; Malykhin, Yu V.; Malykhin, Y. V.; Malykhin, Yu. more...less Further Spellings: Малыхин Юрий Вячеславович External Links: MGP · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 36 Publications since 2006, including 1 Additional arXiv Preprint Co-Authors: 20 Co-Authors with 21 Joint Publications 951 Co-Co-Authors all top 5 Co-Authors 15 single-authored 10 Ryutin, Konstantin S. 6 Konyagin, Sergeĭ Vladimirovich 4 Shchepin, Evgeniĭ Vital’evich 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Temlyakov, Vladimir Nikolaevich 2 Zaitseva, Tatyana I. 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 Limonova, Irina V. 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Potapov, Mikhaĭl Konstantinovich 1 Sadovnichiĭ, Viktor Antonovich all top 5 Serials 10 Mathematical Notes 7 Proceedings of the Steklov Institute of Mathematics 2 Russian Mathematical Surveys 2 Journal of Approximation Theory 2 Journal of Mathematical Sciences (New York) 2 East Journal on Approximations 2 Sbornik: Mathematics 1 Topology and its Applications 1 Journal of Complexity 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Problemy Analiza. Issues of Analysis all top 5 Fields 14 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 4 Statistics (62-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Real functions (26-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 49 times in 41 Documents Cited by ▼ Year ▼ The product of octahedra is badly approximated in the \(\ell_{2,1}\)-metric. Zbl 1371.52008 Malykhin, Yu. V.; Ryutin, K. S. 12 2017 Estimates of trigonometric sums modulo \(p^r\). Zbl 1183.11048 Malykhin, Yu. V. 6 2006 Relative widths of Sobolev classes in the uniform and integral metrics. Zbl 1362.46039 Malykhin, Yu. V. 5 2016 Asymptotics for the sum of powers of distances between power residues modulo a prime. Zbl 1297.11123 Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu. V. 4 2012 Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057 Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. 4 2015 Kolmogorov width and approximate rank. Zbl 1426.41016 Kashin, B. S.; Malykhin, Yu. V.; Ryutin, K. S. 3 2018 Bounds for exponential sums modulo \(p^2\). Zbl 1204.11133 Malykhin, Yu. V. 3 2007 On exact recovery of sparse vectors from linear measurements. Zbl 1323.15013 Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. 3 2013 Asymptotic properties of Chebyshev splines with fixed number of knots. Zbl 1354.41011 Malykhin, Yu. V. 1 2016 Concentration of the \(L_1\)-norm of trigonometric polynomials and entire functions. Zbl 1312.42001 Malykhin, Yu V.; Ryutin, K. S. 1 2014 Chain development. Zbl 1336.62188 Malykhin, Yu. V.; Shchepin, E. V. 1 2015 Convexity condition in Cucker-Smale theorems in the theory of teaching. Zbl 1219.62191 Malykhin, Yu. V. 1 2008 Chain development of metric compacts. Zbl 1373.51004 Malykhin, Yu. V.; Shchepin, E. V. 1 2017 Recovery of regular ridge functions on the ball. Zbl 1528.41014 Malykhin, Yuri; Ryutin, Konstantin; Zaitseva, Tatyana 1 2022 Matrix and tensor rigidity and \(L_p\)-approximation. Zbl 07543655 Malykhin, Yuri 1 2022 On recovery of regular ridge functions. Zbl 1469.41014 Zaitseva, T. I.; Malykhin, Yu. V.; Ryutin, K. S. 1 2021 Minimal self-similar Peano curve of genus \(5 \times 5\). Zbl 1482.28012 Malykhin, Yu. V.; Shchepin, E. V. 1 2020 Recovery of regular ridge functions on the ball. Zbl 1528.41014 Malykhin, Yuri; Ryutin, Konstantin; Zaitseva, Tatyana 1 2022 Matrix and tensor rigidity and \(L_p\)-approximation. Zbl 07543655 Malykhin, Yuri 1 2022 On recovery of regular ridge functions. Zbl 1469.41014 Zaitseva, T. I.; Malykhin, Yu. V.; Ryutin, K. S. 1 2021 Minimal self-similar Peano curve of genus \(5 \times 5\). Zbl 1482.28012 Malykhin, Yu. V.; Shchepin, E. V. 1 2020 Kolmogorov width and approximate rank. Zbl 1426.41016 Kashin, B. S.; Malykhin, Yu. V.; Ryutin, K. S. 3 2018 The product of octahedra is badly approximated in the \(\ell_{2,1}\)-metric. Zbl 1371.52008 Malykhin, Yu. V.; Ryutin, K. S. 12 2017 Chain development of metric compacts. Zbl 1373.51004 Malykhin, Yu. V.; Shchepin, E. V. 1 2017 Relative widths of Sobolev classes in the uniform and integral metrics. Zbl 1362.46039 Malykhin, Yu. V. 5 2016 Asymptotic properties of Chebyshev splines with fixed number of knots. Zbl 1354.41011 Malykhin, Yu. V. 1 2016 Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation. Zbl 1362.42057 Malykhin, Yu. V.; Telyakovskii, S. A.; Kholshchevnikova, N. N. 4 2015 Chain development. Zbl 1336.62188 Malykhin, Yu. V.; Shchepin, E. V. 1 2015 Concentration of the \(L_1\)-norm of trigonometric polynomials and entire functions. Zbl 1312.42001 Malykhin, Yu V.; Ryutin, K. S. 1 2014 On exact recovery of sparse vectors from linear measurements. Zbl 1323.15013 Konyagin, 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 1297.11123 Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu. V. 4 2012 Convexity condition in Cucker-Smale theorems in the theory of teaching. Zbl 1219.62191 Malykhin, Yu. V. 1 2008 Bounds for exponential sums modulo \(p^2\). Zbl 1204.11133 Malykhin, Yu. V. 3 2007 Estimates of trigonometric sums modulo \(p^r\). Zbl 1183.11048 Malykhin, Yu. V. 6 2006 all cited Publications top 5 cited Publications all top 5 Cited by 42 Authors 9 Malykhin, Yuriĭ Vyacheslavovich 4 Shparlinski, Igor E. 3 Alimov, Alexey R. 3 Konyagin, Sergeĭ Vladimirovich 3 Vasil’eva, Anastasia Andreevna 2 Goginava, Ushangi 2 Ryutin, Konstantin S. 2 Shchepin, Evgeniĭ Vital’evich 2 Shkredov, Il’ya Dmitrievich 2 Shteĭnikov, Yuriĭ Nikolaevich 2 Ullrich, Tino 1 Aliev, Rashid Avazaga 1 Bourgain, Jean 1 Byrenheid, Glenn 1 Dai, Feng 1 Dietmann, Rainer 1 Dirksen, Sjoerd 1 Elsholtz, Christian 1 Ford, Kevin B. 1 Gabdullin, Mikhail R. 1 Gorbachëv, Dmitriĭ Viktorovich 1 Hembars’ka, Svitlana Borysivna 1 Hembars’kyi, Mykhailo Vitaliiovych 1 Isgandarli, Fidan M. 1 Kholshchevnikova, Natal’ya Nikolaevna 1 Künzi, Hans-Peter A. 1 Murphy, Brendan 1 Nagy, Károly 1 Pigno, Vincent 1 Pinner, Christopher G. 1 Romanyuk, Anatolii Sergiiovych 1 Rudnev, Misha 1 Saatashvili, Aleksandre 1 Shteinikov, Yuri 1 Solodkova, Elena V. 1 Telyakovskiĭ, Sergeĭ Aleksandrovich 1 Tiantsoa, Francky Mathieu Solofomananirina 1 Tikhonov, Sergey Yur’evich 1 Toledo, Rodolfo 1 Tsar’kov, Igor’ Germanovich 1 Vyugin, Ilya V. 1 Zaitseva, Tatyana I. all top 5 Cited in 27 Serials 5 Mathematical Notes 4 Journal of Complexity 3 Sbornik: Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Journal of Approximation Theory 2 Topology and its Applications 2 Journal of Mathematical Sciences (New York) 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 Quaestiones Mathematicae 1 Constructive Approximation 1 Discrete & Computational Geometry 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 Izvestiya: Mathematics 1 Doklady Mathematics 1 Chebyshevskiĭ Sbornik 1 Set-Valued and Variational Analysis 1 Eurasian Mathematical Journal all top 5 Cited in 15 Fields 20 Approximations and expansions (41-XX) 11 Number theory (11-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 4 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) Citations by Year