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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2019, том 10, номер 1, страницы 80–88 (Mi emj324)

A new result on matrix summability factors of Fourier series

Ş. Yildiz

Department of Mathematics, Kırşehir Ahi Evran University, Kırşehir, Turkey

Аннотация: Sulaiman [10] has investigated absolute weighted mean summability theorems for numerical and Fourier series. In the present paper, we have extended the result of Sulaiman to the $|A, p_n|_k$ summability method. Also some new and known results are obtained by using some basic summability methods.

Ключевые слова и фразы: summability factors, absolute matrix summability, numerical series, Fourier series, Hölder's inequality, Minkowski's inequality, sequence space.

MSC: 26D15, 40D15, 40F05, 40G99, 42A24, 46A45

Поступила в редакцию: 11.04.2016
Исправленный вариант: 12.02.2018

Язык публикации: английский

DOI: 10.32523/2077-9879-2019-10-1-80-88



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