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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

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

Эта публикация цитируется в 1 статье

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

Аннотация: 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.

Ключевые слова и фразы: Musielak–Orlicz function, Lacunary sequence, solidity, infinite matrix, statistically convergent, $n$-normed space.

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

Поступила в редакцию: 20.04.2017

Язык публикации: английский



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