On the strong lacunary convergence and strong Cesáro summability of sequences of real-valued functions

Abstract

In this paper we introduce the concepts of the strong lacunary convergence and strong Cesáro summabilty of sequences of real-valued functions. We also give the relations between these convergences and pointwise convergence and pointwise statistical convergence. © Balkan Society of Geometers, Geometry Balkan Press 2006.