Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients

被引：2

作者：

Potapov M.K. ^{[1
,2
]}

Simonov B.V. ^{[1
,2
]}

机构：

[1] Moscow State University, Leninskie Gory, Moscow

[2] Volgograd State Technical University, Volgograd, 400005

来源：

Moscow University Mathematics Bulletin | 2014年 / 69卷 / 1期

关键词：

Fourier Coefficient; Lebesgue Space; Mixed Norm; Mixed Modulus; Mixed Modulo;

D O I：

10.3103/S0027132214010021

中图分类号：

学科分类号：

摘要：

引用

页码：5 / 15

页数：10

共 50 条

[1] Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients
Potapov M.K.
Simonov B.V.
[J]. Moscow University Mathematics Bulletin, 2012, 67 (1) : 16 - 22
[2] Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients
V. Simonov, B.
Simonova, I. E.
Ivanyuk, V. A.
[J]. IZVESTIYA OF SARATOV UNIVERSITY MATHEMATICS MECHANICS INFORMATICS, 2022, 22 (04): : 447 - 457
[3] INTEGRAL MODULI OF SMOOTHNESS AND THE FOURIER COEFFICIENTS OF THE COMPOSITION OF FUNCTIONS
SAAKJAN, AA
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1981, 38 (04): : 549 - 561
[4] Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients
T. M. Vukolova
[J]. Mathematical Notes, 2015, 97 : 854 - 866
[5] Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients
Vukolova, T. M.
[J]. MATHEMATICAL NOTES, 2015, 97 (5-6) : 854 - 866
[6] Smoothness of functions and Fourier coefficients
Dyachenko, M., I
Mukanov, A. B.
Tikhonov, S. Yu
[J]. SBORNIK MATHEMATICS, 2019, 210 (07) : 994 - 1018
[7] Smoothness and Asymptotic Properties of Functions with General Monotone Fourier Coefficients
M. I. Dyachenko
S. Yu. Tikhonov
[J]. Journal of Fourier Analysis and Applications, 2018, 24 : 1072 - 1097
[8] Smoothness and Asymptotic Properties of Functions with General Monotone Fourier Coefficients
Dyachenko, M. I.
Tikhonov, S. Yu.
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2018, 24 (04) : 1072 - 1097
[9] Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness
Davydov, OV
[J]. SBORNIK MATHEMATICS, 1996, 187 (7-8) : 981 - 1004
[10] SMOOTHNESS OF FUNCTIONS AND FOURIER COEFFICIENTS - A FUNCTIONAL ANALYSTS APPROACH
WOJTASZCZYK, P
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 103 : 117 - 126

← 1 2 3 4 5 →