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D’yachenko, Mikhaĭl Ivanovich

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Author ID: dyachenko.mikhail-ivanovich Recent zbMATH articles by "D’yachenko, Mikhaĭl Ivanovich"
Published as: D’yachenko, M. I.; Dyachenko, M. I.; Dyachenko, Mikhail; Dyachenko, M.; Dyachenko, Mikhail I.; D’yachenko, Mikhaĭl Ivanovich
Documents Indexed: 87 Publications since 1977
Co-Authors: 36 Co-Authors with 34 Joint Publications
1,060 Co-Co-Authors

Publications by Year

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 1169.42001
Dyachenko, Mikhail; Tikhonov, Sergey
27
2009
Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004
Dyachenko, Mikhail; Tikhonov, Sergey
14
2007
On a class of summability methods for multiple Fourier series. Zbl 1408.42002
Dyachenko, M. I.
10
2013
Convergence of double Fourier series and \(W\)-classes. Zbl 1123.42001
Dyachenko, M. I.; Waterman, D.
9
2005
A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031
Dyachenko, Mikhail; Tikhonov, Sergey
9
2008
Waterman classes and spherical partial sums of double Fourier series. Zbl 0820.42005
D’yachenko, M. I.
9
1995
General monotone sequences and convergence of trigonometric series. Zbl 1167.42303
Dyachenko, M.; Tikhonov, S.
9
2008
Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003
Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey
8
2010
Norms of Dirichlet kernels and some other trigonometric polynomials in \(L_ p\)-spaces. Zbl 0815.42001
D’yachenko, M. I.
8
1993
Bounds for norms of sums of double trigonometric series with multiply monotone coefficients. Zbl 0821.42008
Vukolova, T. M.; D’yachenko, M. I.
7
1994
Uniform convergence of hyperbolic partial sums of multiple Fourier series. Zbl 1076.42006
D’yachenko, M. I.
7
2004
Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005
Dyachenko, M. I.; Tikhonov, S. Yu.
7
2018
Two-dimensional Waterman classes and \(u\)-convergence of Fourier series. Zbl 0937.42006
D’yachenko, M. I.
6
1999
Some problems in the theory of multiple trigonometric series. Zbl 0784.42009
D’yachenko, M. I.
6
1992
On some properties of trigonometric series with monotone decreasing coefficients. Zbl 0561.42006
D’yachenko, M. I.
6
1984
Multiple trigonometric series with lexicographically monotone coefficients. Zbl 0716.42014
D’yachenko, M. I.
6
1990
On summability of Fourier coefficients of functions from Lebesgue space. Zbl 1298.42007
Dyachenko, Mikhail; Nursultanov, Erlan; Kankenova, Ayagoz
5
2014
Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
5
2018
On the (C,\(\alpha\) )-summability of multiple trigonometric Fourier series. Zbl 0664.42009
D’yachenko, M. I.
4
1988
Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients. Zbl 0909.42005
Vukolova, T. M.; Dyachenko, M. I.
4
1997
On the properties of sums of trigonometric series with monotone coefficients. Zbl 0881.42004
Vukolova, T. M.; Dyachenko, M. I.
4
1995
Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
4
2019
Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
3
2020
On the convergence of double trigonometric series and Fourier series with monotone coefficients. Zbl 0654.42017
D’yachenko, M. I.
3
1987
Trigonometric series with generalized-monotone coefficients. Zbl 0637.42002
D’yachenko, M. I.
2
1986
On Fourier series with monotonously decreasing coefficients and some problems of smoothness of conjugate functions. Zbl 0498.42005
D’yachenko, M. I.
2
1981
Generalized Cesàro summation of multiple Fourier series. Zbl 1023.42005
D’yachenko, M. I.
2
2001
On some properties of multiple Fourier series and transforms. Zbl 0822.42007
D’yachenko, M. I.
2
1989
Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
2
2018
The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients. Zbl 1157.42302
D’yachenko, M. I.
2
2008
Smoothness of functions and Fourier coefficients. Zbl 1422.42006
D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich
2
2019
Hardy-Littlewood type theorems. Zbl 1277.42007
Dyachenko, M. I.; Nursultanov, E. D.; Zhantakbayeva, A. M.
2
2013
Hardy-Littlewood theorem for trigonometric series with \(\alpha \)-monotone coefficients. Zbl 1192.42004
Dyachenko, M. I.; Nursultanov, E. D.
2
2009
Integrability of functions and Fourier coefficients. Zbl 0391.42004
D’yachenko, M. I.
1
1977
Piecewise monotonic functions of several variables and a theorem of Hardy and Littlewood. Zbl 0778.42012
D’yachenko, M. I.
1
1991
The essential divergence in measure of function sequences and series. Zbl 1095.42002
D’yachenko, M. I.; Kazaryan, K. S.; Sifuèntes, P.
1
2003
\(U\)-convergence almost everywhere of double Fourier series. Zbl 0847.42008
D’yachenko, M. I.
1
1995
Convergence almost everywhere of multiple Fourier series of monotonic functions. Zbl 0733.42008
D’yachenko, M. I.
1
1991
Convergence of multiple Fourier series: main results and unsolved problems. Zbl 1035.42004
Dyachenko, M. I.
1
2002
The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients. Zbl 1350.42013
D’yachenko, M. I.; Nursultanov, E. D.; Nursultanov, M. E.
1
2016
Trigonometric series with lacunary-monotone coefficients. Zbl 1266.42014
Dyachenko, M. I.; Tikhonov, S.
1
2012
The rotation of a coordinate system and two-dimensional classes of functions of generalized bounded variation. Zbl 1212.26026
D’yachenko, M. I.
1
2008
Local smoothness of the conjugate functions. Zbl 1271.42009
Dyachenko, M. I.
1
2011
Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
3
2020
Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
4
2019
Smoothness of functions and Fourier coefficients. Zbl 1422.42006
D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich
2
2019
Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005
Dyachenko, M. I.; Tikhonov, S. Yu.
7
2018
Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
5
2018
Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
2
2018
The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients. Zbl 1350.42013
D’yachenko, M. I.; Nursultanov, E. D.; Nursultanov, M. E.
1
2016
On summability of Fourier coefficients of functions from Lebesgue space. Zbl 1298.42007
Dyachenko, Mikhail; Nursultanov, Erlan; Kankenova, Ayagoz
5
2014
On a class of summability methods for multiple Fourier series. Zbl 1408.42002
Dyachenko, M. I.
10
2013
Hardy-Littlewood type theorems. Zbl 1277.42007
Dyachenko, M. I.; Nursultanov, E. D.; Zhantakbayeva, A. M.
2
2013
Trigonometric series with lacunary-monotone coefficients. Zbl 1266.42014
Dyachenko, M. I.; Tikhonov, S.
1
2012
Local smoothness of the conjugate functions. Zbl 1271.42009
Dyachenko, M. I.
1
2011
Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003
Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey
8
2010
Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001
Dyachenko, Mikhail; Tikhonov, Sergey
27
2009
Hardy-Littlewood theorem for trigonometric series with \(\alpha \)-monotone coefficients. Zbl 1192.42004
Dyachenko, M. I.; Nursultanov, E. D.
2
2009
A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031
Dyachenko, Mikhail; Tikhonov, Sergey
9
2008
General monotone sequences and convergence of trigonometric series. Zbl 1167.42303
Dyachenko, M.; Tikhonov, S.
9
2008
The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients. Zbl 1157.42302
D’yachenko, M. I.
2
2008
The rotation of a coordinate system and two-dimensional classes of functions of generalized bounded variation. Zbl 1212.26026
D’yachenko, M. I.
1
2008
Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004
Dyachenko, Mikhail; Tikhonov, Sergey
14
2007
Convergence of double Fourier series and \(W\)-classes. Zbl 1123.42001
Dyachenko, M. I.; Waterman, D.
9
2005
Uniform convergence of hyperbolic partial sums of multiple Fourier series. Zbl 1076.42006
D’yachenko, M. I.
7
2004
The essential divergence in measure of function sequences and series. Zbl 1095.42002
D’yachenko, M. I.; Kazaryan, K. S.; Sifuèntes, P.
1
2003
Convergence of multiple Fourier series: main results and unsolved problems. Zbl 1035.42004
Dyachenko, M. I.
1
2002
Generalized Cesàro summation of multiple Fourier series. Zbl 1023.42005
D’yachenko, M. I.
2
2001
Two-dimensional Waterman classes and \(u\)-convergence of Fourier series. Zbl 0937.42006
D’yachenko, M. I.
6
1999
Estimates for mixed norms of the sums of double trigonometric series with multiply monotonous coefficients. Zbl 0909.42005
Vukolova, T. M.; Dyachenko, M. I.
4
1997
Waterman classes and spherical partial sums of double Fourier series. Zbl 0820.42005
D’yachenko, M. I.
9
1995
On the properties of sums of trigonometric series with monotone coefficients. Zbl 0881.42004
Vukolova, T. M.; Dyachenko, M. I.
4
1995
\(U\)-convergence almost everywhere of double Fourier series. Zbl 0847.42008
D’yachenko, M. I.
1
1995
Bounds for norms of sums of double trigonometric series with multiply monotone coefficients. Zbl 0821.42008
Vukolova, T. M.; D’yachenko, M. I.
7
1994
Norms of Dirichlet kernels and some other trigonometric polynomials in \(L_ p\)-spaces. Zbl 0815.42001
D’yachenko, M. I.
8
1993
Some problems in the theory of multiple trigonometric series. Zbl 0784.42009
D’yachenko, M. I.
6
1992
Piecewise monotonic functions of several variables and a theorem of Hardy and Littlewood. Zbl 0778.42012
D’yachenko, M. I.
1
1991
Convergence almost everywhere of multiple Fourier series of monotonic functions. Zbl 0733.42008
D’yachenko, M. I.
1
1991
Multiple trigonometric series with lexicographically monotone coefficients. Zbl 0716.42014
D’yachenko, M. I.
6
1990
On some properties of multiple Fourier series and transforms. Zbl 0822.42007
D’yachenko, M. I.
2
1989
On the (C,\(\alpha\) )-summability of multiple trigonometric Fourier series. Zbl 0664.42009
D’yachenko, M. I.
4
1988
On the convergence of double trigonometric series and Fourier series with monotone coefficients. Zbl 0654.42017
D’yachenko, M. I.
3
1987
Trigonometric series with generalized-monotone coefficients. Zbl 0637.42002
D’yachenko, M. I.
2
1986
On some properties of trigonometric series with monotone decreasing coefficients. Zbl 0561.42006
D’yachenko, M. I.
6
1984
On Fourier series with monotonously decreasing coefficients and some problems of smoothness of conjugate functions. Zbl 0498.42005
D’yachenko, M. I.
2
1981
Integrability of functions and Fourier coefficients. Zbl 0391.42004
D’yachenko, M. I.
1
1977
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

Citations by Year