On weighted integrability of functions defined by trigonometric series with p-bounded variation coefficients

被引：0

作者：

Szal, Bogdan ^{[1
]}

Kubiak, Maciej ^{[1
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econ, Zielona Gora, Poland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Trigonometric series; Sequences of p-bounded variation; Weighted L-p integrability; CONVERGENCE;

D O I：

10.1186/s13660-019-2225-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce new classes of p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these classes. This is a generalization of the results obtained by the first author [J. Inequal. Appl. 2010:1-19, 2010] and Dyachenko and Tikhonov [Stud. Math. 193(3):285-306, 2009].

引用

下载

页数：18

共 50 条

[31] On integrability of functions defined by Fourier series
Leindler, Laszlo
ACTA SCIENTIARUM MATHEMATICARUM, 2008, 74 (3-4): : 565 - 580
[32] ON THE INTEGRABILITY AND L1-CONVERGENCE OF WALSH-SERIES WITH COEFFICIENTS OF BOUNDED VARIATION
MORICZ, F
SCHIPP, F
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 146 (01) : 99 - 109
[33] INTEGRABILITY THEOREMS FOR TRIGONOMETRIC SERIES WITH QUASI-MONOTONE COEFFICIENTS
JAIN, P
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A7 - A7
[34] INTEGRABILITY OF TRIGONOMETRIC COSINE SERIES WITH QUASI-MONOTONE COEFFICIENTS
MAHER, MQM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (04): : A435 - A435
[35] INTEGRABILITY OF TRIGONOMETRIC SERIES WITH GENERALIZED SEMI-CONVEX COEFFICIENTS
Krasniqi, Xhevat Z.
OPUSCULA MATHEMATICA, 2012, 32 (03) : 521 - 528
[36] INTEGRABILITY OF MAJORANT OF PARTIAL SUMS OF A TRIGONOMETRIC SERIES WITH QUASICONVEX COEFFICIENTS
TELYAKOV.SA
DOKLADY AKADEMII NAUK SSSR, 1970, 192 (03): : 514 - &
[37] WEIGHTED INTEGRABILITY AND L(1)-CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
CHEN, CP
STUDIA MATHEMATICA, 1994, 108 (02) : 177 - 190
[38] Some generalizations of the space bυp of p-bounded variation sequences
Basar, F.
Altay, B.
Mursaleen, M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (02) : 273 - 287
[39] On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings
F. Başar
B. Altay
Ukrainian Mathematical Journal, 2003, 55 (1) : 136 - 147
[40] MODULUS OF CONTINUITY OF FUNCTIONS DEFINED BY TRIGONOMETRIC SERIES
IZUMI, M
IZUMI, SI
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (03) : 564 - &

← 1 2 3 4 5 →