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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018 Number 2, Pages 17–29 (Mi basm482)

This article is cited in 1 paper

Research articles

On statistical convergence in generalized Lacunary sequence spaces

K. Raj, R. Anand

Department of Mathematics, Shri Mata Vaishno Devi University Katra-182320, J&K, India

Abstract: In the present paper we introduce and study some generalized Lacunary sequence spaces of Musielak–Orlicz function using infinite matrix over $n$-normed spaces. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Finally, we study statistical convergence on these spaces.

Keywords and phrases: Musielak–Orlicz function, Lacunary sequence, solidity, infinite matrix, statistically convergent, $n$-normed space.

MSC: 40A05, 40B50, 46A19, 46A45

Received: 20.04.2017

Language: English



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