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On Deferred f−statistical Convergence

Vinod K. Bhardwaj|Sandeep Gupta
경북대학교 자연과학대학 수학과|2018.03|Kyungpook Mathematical Journal|제58권 제1호|pp. 91-103|DOI https://doi.org/10.5666/KMJ.2018.58.1.91

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참고문헌

키워드

statistical convergencemodulus functionstrong Ces aro summabilityKothe-Toeplitz duals
주제분류수학

초록

In this paper, we generalize the concept of deferred density to that of deferredf􀀀density, where f is an unbounded modulus and introduce a new non-matrix convergencemethod, namely deferred f-statistical convergence or S_{p, q}^f-convergence. Apartfrom studying the Kothe-Toeplitz duals of S_{p, q}^f, the space of deferred f-statistically convergentsequences, a decomposition theorem is also established. We also introduce a notionof strongly deferred Ces aro summable sequences de ned by modulus f and investigatethe relationship between deferred f-statistical convergence and strongly deferred Ces arosummable sequences de ned by f.

Abstract

In this paper, we generalize the concept of deferred density to that of deferredf􀀀density, where f is an unbounded modulus and introduce a new non-matrix convergencemethod, namely deferred f-statistical convergence or S_{p, q}^f-convergence. Apartfrom studying the Kothe-Toeplitz duals of S_{p, q}^f, the space of deferred f-statistically convergentsequences, a decomposition theorem is also established. We also introduce a notionof strongly deferred Ces aro summable sequences de ned by modulus f and investigatethe relationship between deferred f-statistical convergence and strongly deferred Ces arosummable sequences de ned by f.

참고문헌 (33)

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