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On Some New Generalized Di erence Statistically Convergent Sequence Spaces De ned by a Sequence of Orlicz Functions

Cigdem Asma Bektas|Gulcan Atici
경북대학교 자연과학대학 수학과|2010.09|Kyungpook Mathematical Journal|제50권 제3호|pp. 389-397

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참고문헌

키워드

statistical convergenceDi erence sequence spacesseminorm
주제분류수학

초록

In this paper we introduce the new generalized difference sequence spaces ℓ∞(Δvn, M, p, q, s), c(Δvn, M, p, q, s), c0(Δvn, M, p, q, s), m(Δvn, M, p, q, s) and m0(Δvn, M, p, q, s) defined over a seminormed sequence space (X, q). We study some of its properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

Abstract

In this paper we introduce the new generalized difference sequence spaces ℓ∞(Δvn, M, p, q, s), c(Δvn, M, p, q, s), c0(Δvn, M, p, q, s), m(Δvn, M, p, q, s) and m0(Δvn, M, p, q, s) defined over a seminormed sequence space (X, q). We study some of its properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

참고문헌 (27)

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관련 논문AI추천

On Some New Paranormed Difference Sequence Spaces De- fined by Orlicz FunctionsBinod Chandra Tripathy, Hemen Dutta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호SOME DIFFERENCE SEQUENCE SPACES OF INFINITE MATRIX AND ORLICZ FUNCTIONCHARU SHARMA, Kuldip Raj장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz FunctionAmit Gupta, Kuldip Raj, Sunil K. Sharma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means Defined by a Sequence of Modulus FunctionsÇiğdem Asma Bektaş, Gülcan Atici경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호Some Difference Double Sequence Spaces Defined By Orlicz FunctionBinod Chandra Tripathy, Bipul Sarma, Bishweshwar Choudhary경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호On vector valued difference sequence spacesManoj Kumar, Ritu, Sandeep Gupta강원경기수학회 · 한국수학논문집2024 · 제32권 제3호

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