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

页数：18

共 50 条

[1] On weighted integrability of functions defined by trigonometric series with p-bounded variation coefficients
Bogdan Szal
Maciej Kubiak
Journal of Inequalities and Applications, 2019
[2] Uniform convergence of trigonometric series with p-bounded variation coefficients
Kubiak, Mateusz
Szal, Bogdan
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020, 27 (01) : 89 - 110
[3] A Sufficient Condition for Uniform Convergence of Trigonometric Series with p-Bounded Variation Coefficients
Kubiak, Mateusz
Szal, Bogdan
RESULTS IN MATHEMATICS, 2023, 78 (06)
[4] A Sufficient Condition for Uniform Convergence of Trigonometric Series with p-Bounded Variation Coefficients
Mateusz Kubiak
Bogdan Szal
Results in Mathematics, 2023, 78
[5] Integrability Of Cosine Trigonometric Series With Coefficients Of Bounded Variation
Krasniqi, Xhevat Z.
APPLIED MATHEMATICS E-NOTES, 2011, 11 : 61 - 66
[6] On Weighted Lp Integrability of Functions Defined by Trigonometric Series
Szal, Bogdan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[7] CONVERGENCE AND INTEGRABILITY OF TRIGONOMETRIC SERIES WITH COEFFICIENTS OF BOUNDED VARIATION OF ORDER (M, P)
STANOJEVIC, VB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 114 (03) : 711 - 718
[8] CONVERGENCE AND INTEGRABILITY OF DOUBLE TRIGONOMETRIC SERIES WITH COEFFICIENTS OF BOUNDED VARIATION
MORICZ, F
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 102 (03) : 633 - 640
[9] Convergence and integrability of rational and double rational trigonometric series with coefficients of bounded variation of higher order
Khachar, Hardeepbhai J.
Vyas, Rajendra G.
GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (05) : 739 - 744
[10] Functions of bounded p-variation and weighted integrability of Fourier transforms
S. A. Krayukhin
S. S. Volosivets
Acta Mathematica Hungarica, 2019, 159 : 374 - 399

← 1 2 3 4 5 →