ON GENERALIZED STATISTICAL CONVERGENCE OF ORDER α OF FUNCTIONS

Abstract

In this paper, we introduce the concept of generalized statistical convergence of measurable functions of order alpha for 0 < alpha < 1 at oo and at a point c E R. In addition to this, we defined generalized strongly p-Cesa`ro summability (0 < p < oo) of a locally integrable function at oo and at a point c E R. Using these definitions, we present some basic results.