New summability methods via $\widetilde{\phi}$ functions

R. Savaş
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Abstract

In 1971, the definition of Orlicz $\widetilde{\phi}$ functions was introduced by Lindenstrauss and Tzafriri and moreover in 2006, the notion of double lacunary sequences was presented by Savaş and Patterson. The primary focus of this article is to introduce the double statistically $\widetilde{\phi }$-convergence and double lacunary statistically $\widetilde{\phi }$-convergence which are generalizations of the double statistically convergence [19] and double lacunary statistically convergence [24]. Additionally, some essential inclusion theorems are examined.
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通过$\widetilde{\phi}$函数的新可求和性方法
1971年Lindenstrauss和Tzafriri引入了Orlicz $\ widdetilde {\phi}$函数的定义,2006年savaku和Patterson提出了双空序列的概念。本文主要介绍双统计$\ widdetilde {\phi}$-收敛和双空白统计$\ widdetilde {\phi}$-收敛,它们是双统计收敛[19]和双空白统计收敛[24]的推广。此外,还研究了一些基本的包含定理。
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