Riesz almost lacunary multiple triple sequence spaces of $\Gamma^{3}$ defined by a Musielak-Orlicz function

Author:

Subramanian N.1,Rajagopal N.1ORCID,Thirunavukarasu P.2

Affiliation:

1. SASTRA University

2. Periyar E.V.R. College

Abstract

In this paper we introduce a new concept for Riesz almost lacunary $\Gamma^{3}$ sequence spaces strong $P-$ convergent to zero with respect to an Musielak-Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of Riesz almost lacunary $\Gamma^{3}$ sequence spaces and also some inclusion theorems are discussed.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference29 articles.

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5. 5. S. Debnath, B. Sarma and B.C. Das, Some generalized triple sequence spaces of real numbers, Journal of nonlinear analysis and optimization, Vol. 6, No. 1 (2015), 71-79.

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