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

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

Abstract 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. Ine...

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Bibliographic Details
Main Authors: Bogdan Szal, Maciej Kubiak
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of Inequalities and Applications
Subjects:
Trigonometric series
Sequences of p-bounded variation
Weighted L p $L^{p}$ integrability
Online Access:http://link.springer.com/article/10.1186/s13660-019-2225-1

Internet

http://link.springer.com/article/10.1186/s13660-019-2225-1

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