STRONGLY SUMMABLE AND STATISTICALLY CONVERGENT FUNCTIONS

Abstract

Strongly summable sequences and lacunary strongly summable sequences were studied by several authors including [5]. Also statistically convergent sequences and lacunary statistical convergent sequences were studied several authors, including [2],[3],[6],[7].In this paper instead of sequences, by taking real valued functions x,measurable (in the Lebesque sense) in the interval (1;1), we have given definitions of summability, strong summability, lacunary convergence, lacunary strong convergence, strongly almost convergence, statistical convergence and lacunary statistical convergence of these functions. Also we have given some inclusion relations.