On Lacunary Statistical Convergence of Order ? of Difference Sequences of Fractional Order

Abstract

The purpose of this paper is to introduce the concepts of Delta(alpha)-lacunary statistical convergence of order beta(0 < beta <= 1) with the fractional order of alpha and Delta(alpha)-lacunary strongly convergence of order beta with the fractional order of alpha. We establish some connections between Delta(alpha)-lacunary strongly convergence of order beta and Delta(alpha)-lacunary statistical convergence of order beta.