On Statistical And Strong Convergence With Respect To A Modulus Function And A Power Series Method

FILOMAT(2020)

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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 J(p)-convergence with respect to a modulus function f and J(p)-statistical convergence, where J(p) is a power series method. The second section introduces the notions of f-J(p)-statistical convergence and f-strong J(p)-convergence and discusses some possible relations among them.
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Key words
power series method, statistical convergence, strong convergence, uniform integrability
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