Edit Profile (opens in new tab) D’yachenko, Mikhaĭl Ivanovich Compute Distance To: Compute Author ID: dyachenko.mikhail-ivanovich Published as: D’yachenko, M. I.; Dyachenko, M. I.; Dyachenko, Mikhail; Dyachenko, M.; Dyachenko, Mikhail I.; D’yachenko, Mikhaĭl Ivanovich more...less Documents Indexed: 87 Publications since 1977 Co-Authors: 36 Co-Authors with 34 Joint Publications 1,060 Co-Co-Authors all top 5 Co-Authors 52 single-authored 16 Tikhonov, Sergey Yur’evich 9 Nursultanov, Erlan D. 5 Potapov, Mikhaĭl Konstantinovich 4 Kashin, Boris Sergeevich 4 Kazarian, Kazaros S. 3 Besov, Oleg Vladimirovich 3 Gonchar, Andreĭ Aleksandrovich 3 Mukanov, Askhat Birlesovich 3 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 3 Vukolova, T. M. 2 Adyan, Sergeĭ Ivanovich 2 Sadovnichiĭ, Viktor Antonovich 1 Belov, Aleksandr S. 1 Bochkarëv, Sergeĭ Viktorovich 1 Borodin, Petr A. 1 Dzhumabaeva, D. G. 1 Fedorov, V. M. 1 Glubov, B. I. 1 Kankenova, Ayagoz 1 Kashin, B. G. 1 Konyagin, Sergeĭ Vladimirovich 1 Kozlov, Valeriĭ Vasil’evich 1 Liflyand, Elijah 1 Lukashenko, Taras P. 1 Malykhin, Yuriĭ Vyacheslavovich 1 Mel’nikov, I. I. 1 Nursultanov, M. E. 1 Sifuèntes, P. 1 Simonov, Boris Vital’evich 1 Skvortsov, Valentin Anatol’evich 1 Solodov, Alekseĭ Petrovich 1 Telyakovskiĭ, Sergeĭ Aleksandrovich 1 Temlyakov, Vladimir Nikolaevich 1 Waterman, Daniel 1 Weisz, Ferenc 1 Zhantakbaeva, A. M. all top 5 Serials 9 Mathematical Notes 8 Moscow University Mathematics Bulletin 7 Sbornik: Mathematics 6 Russian Mathematical Surveys 6 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Analysis Mathematica 4 Journal of Mathematical Analysis and Applications 3 Studia Mathematica 3 Soviet Mathematics 3 Russian Mathematics 3 Eurasian Mathematical Journal 2 Matematicheskie Zametki 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Mathematics of the USSR, Sbornik 2 Izvestiya: Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Canadian Journal of Mathematics 1 Journal of Functional Analysis 1 Mathematica Scandinavica 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Fundamental’naya i Prikladnaya Matematika 1 Doklady Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 80 Harmonic analysis on Euclidean spaces (42-XX) 6 History and biography (01-XX) 6 Real functions (26-XX) 6 Sequences, series, summability (40-XX) 4 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 208 times in 130 Documents Cited by ▼ Year ▼ Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001Dyachenko, Mikhail; Tikhonov, Sergey 27 2009 Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004Dyachenko, Mikhail; Tikhonov, Sergey 14 2007 On a class of summability methods for multiple Fourier series. Zbl 1408.42002Dyachenko, M. I. 10 2013 Convergence of double Fourier series and \(W\)-classes. Zbl 1123.42001Dyachenko, M. I.; Waterman, D. 9 2005 A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031Dyachenko, Mikhail; Tikhonov, Sergey 9 2008 Waterman classes and spherical partial sums of double Fourier series. Zbl 0820.42005D’yachenko, M. I. 9 1995 General monotone sequences and convergence of trigonometric series. Zbl 1167.42303Dyachenko, M.; Tikhonov, S. 9 2008 Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey 8 2010 Norms of Dirichlet kernels and some other trigonometric polynomials in \(L_ p\)-spaces. Zbl 0815.42001D’yachenko, M. I. 8 1993 Bounds for norms of sums of double trigonometric series with multiply monotone coefficients. Zbl 0821.42008Vukolova, T. M.; D’yachenko, M. I. 7 1994 Uniform convergence of hyperbolic partial sums of multiple Fourier series. Zbl 1076.42006D’yachenko, M. I. 7 2004 Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005Dyachenko, M. I.; Tikhonov, S. Yu. 7 2018 Two-dimensional Waterman classes and \(u\)-convergence of Fourier series. Zbl 0937.42006D’yachenko, M. I. 6 1999 Some problems in the theory of multiple trigonometric series. Zbl 0784.42009D’yachenko, M. I. 6 1992 On some properties of trigonometric series with monotone decreasing coefficients. Zbl 0561.42006D’yachenko, M. I. 6 1984 Multiple trigonometric series with lexicographically monotone coefficients. Zbl 0716.42014D’yachenko, M. I. 6 1990 On summability of Fourier coefficients of functions from Lebesgue space. Zbl 1298.42007Dyachenko, Mikhail; Nursultanov, Erlan; Kankenova, Ayagoz 5 2014 Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 5 2018 On the (C,\(\alpha\) )-summability of multiple trigonometric Fourier series. Zbl 0664.42009D’yachenko, M. I. 4 1988 Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients. Zbl 0909.42005Vukolova, T. M.; Dyachenko, M. I. 4 1997 On the properties of sums of trigonometric series with monotone coefficients. Zbl 0881.42004Vukolova, T. M.; Dyachenko, M. I. 4 1995 Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 4 2019 Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 3 2020 On the convergence of double trigonometric series and Fourier series with monotone coefficients. Zbl 0654.42017D’yachenko, M. I. 3 1987 Trigonometric series with generalized-monotone coefficients. Zbl 0637.42002D’yachenko, M. I. 2 1986 On Fourier series with monotonously decreasing coefficients and some problems of smoothness of conjugate functions. Zbl 0498.42005D’yachenko, M. I. 2 1981 Generalized Cesàro summation of multiple Fourier series. Zbl 1023.42005D’yachenko, M. I. 2 2001 On some properties of multiple Fourier series and transforms. Zbl 0822.42007D’yachenko, M. I. 2 1989 Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 2 2018 The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients. Zbl 1157.42302D’yachenko, M. I. 2 2008 Smoothness of functions and Fourier coefficients. Zbl 1422.42006D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich 2 2019 Hardy-Littlewood type theorems. Zbl 1277.42007Dyachenko, M. I.; Nursultanov, E. D.; Zhantakbayeva, A. M. 2 2013 Hardy-Littlewood theorem for trigonometric series with \(\alpha \)-monotone coefficients. Zbl 1192.42004Dyachenko, M. I.; Nursultanov, E. D. 2 2009 Integrability of functions and Fourier coefficients. Zbl 0391.42004D’yachenko, M. I. 1 1977 Piecewise monotonic functions of several variables and a theorem of Hardy and Littlewood. Zbl 0778.42012D’yachenko, M. I. 1 1991 The essential divergence in measure of function sequences and series. Zbl 1095.42002D’yachenko, M. I.; Kazaryan, K. S.; Sifuèntes, P. 1 2003 \(U\)-convergence almost everywhere of double Fourier series. Zbl 0847.42008D’yachenko, M. I. 1 1995 Convergence almost everywhere of multiple Fourier series of monotonic functions. Zbl 0733.42008D’yachenko, M. I. 1 1991 Convergence of multiple Fourier series: main results and unsolved problems. Zbl 1035.42004Dyachenko, M. I. 1 2002 The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients. Zbl 1350.42013D’yachenko, M. I.; Nursultanov, E. D.; Nursultanov, M. E. 1 2016 Trigonometric series with lacunary-monotone coefficients. Zbl 1266.42014Dyachenko, M. I.; Tikhonov, S. 1 2012 The rotation of a coordinate system and two-dimensional classes of functions of generalized bounded variation. Zbl 1212.26026D’yachenko, M. I. 1 2008 Local smoothness of the conjugate functions. Zbl 1271.42009Dyachenko, M. I. 1 2011 Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 3 2020 Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 4 2019 Smoothness of functions and Fourier coefficients. Zbl 1422.42006D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich 2 2019 Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005Dyachenko, M. I.; Tikhonov, S. Yu. 7 2018 Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 5 2018 Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 2 2018 The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients. Zbl 1350.42013D’yachenko, M. I.; Nursultanov, E. D.; Nursultanov, M. E. 1 2016 On summability of Fourier coefficients of functions from Lebesgue space. Zbl 1298.42007Dyachenko, Mikhail; Nursultanov, Erlan; Kankenova, Ayagoz 5 2014 On a class of summability methods for multiple Fourier series. Zbl 1408.42002Dyachenko, M. I. 10 2013 Hardy-Littlewood type theorems. Zbl 1277.42007Dyachenko, M. I.; Nursultanov, E. D.; Zhantakbayeva, A. M. 2 2013 Trigonometric series with lacunary-monotone coefficients. Zbl 1266.42014Dyachenko, M. I.; Tikhonov, S. 1 2012 Local smoothness of the conjugate functions. Zbl 1271.42009Dyachenko, M. I. 1 2011 Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey 8 2010 Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001Dyachenko, Mikhail; Tikhonov, Sergey 27 2009 Hardy-Littlewood theorem for trigonometric series with \(\alpha \)-monotone coefficients. Zbl 1192.42004Dyachenko, M. I.; Nursultanov, E. D. 2 2009 A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031Dyachenko, Mikhail; Tikhonov, Sergey 9 2008 General monotone sequences and convergence of trigonometric series. Zbl 1167.42303Dyachenko, M.; Tikhonov, S. 9 2008 The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients. Zbl 1157.42302D’yachenko, M. I. 2 2008 The rotation of a coordinate system and two-dimensional classes of functions of generalized bounded variation. Zbl 1212.26026D’yachenko, M. I. 1 2008 Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004Dyachenko, Mikhail; Tikhonov, Sergey 14 2007 Convergence of double Fourier series and \(W\)-classes. Zbl 1123.42001Dyachenko, M. I.; Waterman, D. 9 2005 Uniform convergence of hyperbolic partial sums of multiple Fourier series. Zbl 1076.42006D’yachenko, M. I. 7 2004 The essential divergence in measure of function sequences and series. Zbl 1095.42002D’yachenko, M. I.; Kazaryan, K. S.; Sifuèntes, P. 1 2003 Convergence of multiple Fourier series: main results and unsolved problems. Zbl 1035.42004Dyachenko, M. I. 1 2002 Generalized Cesàro summation of multiple Fourier series. Zbl 1023.42005D’yachenko, M. I. 2 2001 Two-dimensional Waterman classes and \(u\)-convergence of Fourier series. Zbl 0937.42006D’yachenko, M. I. 6 1999 Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients. Zbl 0909.42005Vukolova, T. M.; Dyachenko, M. I. 4 1997 Waterman classes and spherical partial sums of double Fourier series. Zbl 0820.42005D’yachenko, M. I. 9 1995 On the properties of sums of trigonometric series with monotone coefficients. Zbl 0881.42004Vukolova, T. M.; Dyachenko, M. I. 4 1995 \(U\)-convergence almost everywhere of double Fourier series. Zbl 0847.42008D’yachenko, M. I. 1 1995 Bounds for norms of sums of double trigonometric series with multiply monotone coefficients. Zbl 0821.42008Vukolova, T. M.; D’yachenko, M. I. 7 1994 Norms of Dirichlet kernels and some other trigonometric polynomials in \(L_ p\)-spaces. Zbl 0815.42001D’yachenko, M. I. 8 1993 Some problems in the theory of multiple trigonometric series. Zbl 0784.42009D’yachenko, M. I. 6 1992 Piecewise monotonic functions of several variables and a theorem of Hardy and Littlewood. Zbl 0778.42012D’yachenko, M. I. 1 1991 Convergence almost everywhere of multiple Fourier series of monotonic functions. Zbl 0733.42008D’yachenko, M. I. 1 1991 Multiple trigonometric series with lexicographically monotone coefficients. Zbl 0716.42014D’yachenko, M. I. 6 1990 On some properties of multiple Fourier series and transforms. Zbl 0822.42007D’yachenko, M. I. 2 1989 On the (C,\(\alpha\) )-summability of multiple trigonometric Fourier series. Zbl 0664.42009D’yachenko, M. I. 4 1988 On the convergence of double trigonometric series and Fourier series with monotone coefficients. Zbl 0654.42017D’yachenko, M. I. 3 1987 Trigonometric series with generalized-monotone coefficients. Zbl 0637.42002D’yachenko, M. I. 2 1986 On some properties of trigonometric series with monotone decreasing coefficients. Zbl 0561.42006D’yachenko, M. I. 6 1984 On Fourier series with monotonously decreasing coefficients and some problems of smoothness of conjugate functions. Zbl 0498.42005D’yachenko, M. I. 2 1981 Integrability of functions and Fourier coefficients. Zbl 0391.42004D’yachenko, M. I. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 20 Tikhonov, Sergey Yur’evich 17 D’yachenko, Mikhaĭl Ivanovich 11 Goginava, Ushangi 11 Nursultanov, Erlan D. 10 Szal, Bogdan 10 Trynin, Aleksandr Yur’evich 6 Liflyand, Elijah 6 Volosivets, Sergeĭ Sergeevich 5 Sahakyan, Artur A. 5 Simonov, Boris Vital’evich 4 Debernardi, Alberto 4 Vukolova, T. M. 3 Antonov, A. P. 3 Duong, Dao Van 3 Kolomoitsev, Yurii S. 3 Kopezhanova, Aĭgerim Nurzhanovna 3 Krasniqi, Xhevat Z. 3 Oganesyan, K. A. 3 Vyas, Rajendra G. 3 Zhou, Songping 2 Darji, Kiran N. 2 Dung, Kieu Huu 2 Kórus, Péter 2 Kubiak, Mateusz 2 Łenski, Włodzimierz 2 Mukanov, Askhat Birlesovich 2 Nguyen Minh Chuong 2 Persson, Lars-Erik 2 Simonova, I. Eh. 1 Abdelhakim, Ahmed A. 1 Akishev, Gabdolla Akishevich 1 Bakhvalov, Alexandr N. 1 Bashirova, Anar Nabievna 1 Belov, Aleksandr S. 1 Belyaev, Alexeĭ Yu. 1 Berens, Hubert Anton 1 Bimendina, Aĭnur Uzbekovna 1 Bravo, Jennifer 1 Chechkin, Gregory Aleksandrovich 1 Chen, Dingyuan 1 Cheng, Wentao 1 Chubinidze, Kakha A. 1 Coriasco, Sandro 1 Dragoshanskij, O. S. 1 Duzinkiewicz, Krzysztof 1 Dzhumabaeva, D. G. 1 Fadeev, R. N. 1 Feng, Lei 1 Fridli, Sándor 1 Fufaev, D. V. 1 Galoyan, Levon N. 1 Getsadze, Rostom D. 1 Golubov, Boris Ivanovich 1 Gorbachëv, Dmitriĭ Viktorovich 1 Grigoriev, Stepan M. 1 Gulichev, N. V. 1 Jumabayeva, A. A. 1 Kankenova, Ayagoz 1 Kȩska, Sergiusz 1 Kholshchevnikova, Natal’ya Nikolaevna 1 Kireeva, Ekaterina Dmitrievna 1 Kozlov, Yu. D. 1 Kranz, Radoslawa 1 Kubiak, Maciej 1 Leindler, László 1 Li, Zhongkai 1 Lizama, Carlos 1 Lomako, Tetiana 1 Lukashenko, S. Yu. 1 Mukanov, Ashkat 1 Murdocca, M. 1 Nagy, Károly 1 Nursultanov, Erlan Dautbekovich 1 Nursultanov, M. E. 1 Oniani, Giorgi Gigla 1 Podkorytov, Anatoliĭ Naumovich 1 Sagher, Yoram 1 Savage, Thomas R. 1 Shcherbakov, Victor Innokent’evich 1 Simonov, V. V. 1 Smailov, Esmukhanbet Saĭdakhmetovich 1 Solodov, Alekseĭ Petrovich 1 Torres-Latorre, Damià 1 Totik, Vilmos 1 Waterman, Daniel 1 Weisz, Ferenc 1 Xu, Yuan 1 Yu, Dansheng 1 Yu, Kan 1 Zhou, Ping all top 5 Cited in 53 Serials 15 Mathematical Notes 12 Analysis Mathematica 11 Journal of Mathematical Analysis and Applications 7 Russian Mathematics 6 Moscow University Mathematics Bulletin 5 Acta Mathematica Hungarica 5 Proceedings of the Steklov Institute of Mathematics 4 Journal of Approximation Theory 3 Ukrainian Mathematical Journal 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Journal of Mathematical Sciences (New York) 3 Sbornik: Mathematics 3 The Journal of Fourier Analysis and Applications 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Russian Journal of Mathematical Physics 2 Georgian Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Eurasian Mathematical Journal 1 Indian Journal of Pure & Applied Mathematics 1 Acta Scientiarum Mathematicarum 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Computational Mathematics and Mathematical Physics 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 St. Petersburg Mathematical Journal 1 Filomat 1 Izvestiya: Mathematics 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Boundary Value Problems 1 Journal of Mathematical Inequalities 1 Armenian Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Arabian Journal of Mathematics 1 Journal of Classical Analysis 1 Problemy Analiza. Issues of Analysis 1 Transactions of A. Razmadze Mathematical Institute all top 5 Cited in 17 Fields 107 Harmonic analysis on Euclidean spaces (42-XX) 18 Approximations and expansions (41-XX) 17 Real functions (26-XX) 13 Functional analysis (46-XX) 11 Sequences, series, summability (40-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) Citations by Year