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On Generalized Statistical Convergence

2016

Abstract

In this paper, statistical convergence is generalized by using regular Norlund mean N(p) where p = (pn) is a positive sequence of natural numbers. It is called statistical Norlund convergence and denoted by the symbol st-N(p). Besides convergence properties of st-N(p), some inclusion results have been given between st-N(p) convergence and strongly N(p) and statistical convergence. Also, st-N(p) and st-N(q) convergences are compared under some certain restrictions.