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On statistical and strong convergence with respect to a modulus function and a power series method

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This paper introduces and focuses on two pairs of concepts in two main sections. The first section aims to examine the relation between the concepts of strong Jp-convergence with respect… Click to show full abstract

This paper introduces and focuses on two pairs of concepts in two main sections. The first section aims to examine the relation between the concepts of strong Jp-convergence with respect to a modulus function f and Jp-statistical convergence, where Jp is a power series method. The second section introduces the notions of f -Jp-statistical convergence and f -strong Jp-convergence and discusses some possible relations among them.

Keywords: respect modulus; convergence respect; convergence; power series; modulus function; strong convergence

Journal Title: Filomat
Year Published: 2020

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