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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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Библиографические подробности
Главные авторы: Bogdan Szal, Maciej Kubiak
Формат: Artigo
Язык:Inglês
Опубликовано: SpringerOpen 2019-10-01
Серии:Journal of Inequalities and Applications
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Online-ссылка:http://link.springer.com/article/10.1186/s13660-019-2225-1
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