International Research Journal of Commerce , Arts and Science

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SOME STATISTICALLY CONVERGENT GENERALIZED DOUBLE SEQUENCE SPACES IN N-NORMED SPACES

    1 Author(s):  NAVEEN KUMAR SRIVASTAVA

Vol -  7, Issue- 12 ,         Page(s) : 5 - 13  (2016 ) DOI : https://doi.org/10.32804/CASIRJ

Abstract

The concept of statistical convergence was introduced by Stinhauss [21] in 1951. M. Gurdal and S. Pehlivan [9] defined statistical convergence in 2-normed spaces in 2009. In this paper, we study statistical convergence of double sequence spaces in n-normed spaces. We show that some properties of statistical convergence of double sequences also hold in n-normed spaces. The results here in proved are analogous to those by Vakeel A. Khan and Sabiha Tabassum [Applied Mathematics, Scientific Research Publishing, USA 2(4)(2011) : 398-408].

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