Open Access Review

Statistical convergence in a paranormed space

Abdullah Alotaibi* and Abdullah M Alroqi

Author Affiliations

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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Journal of Inequalities and Applications 2012, 2012:39 doi:10.1186/1029-242X-2012-39

Published: 21 February 2012

Abstract

In this article, we define the notion of statistical convergence, statistical Cauchy and strongly p-Cesàro summability in a paranormed space. We establish some relations between them.

AMS subject classification (2000): 41A10; 41A25; 41A36; 40A05; 40A30.

Keywords:
density; statistical convergence; statistical Cauchy; para-normed space; strongly p-Cesàro summability.