ON f-LACUNARY STATISTICAL CONVERGENCE AND STRONG f-LACUNARY SUMMABILITY OF ORDER (?, ?)

Abstract

In the paper [37], we introduce the concepts of f-lacunary statistical convergence of order (alpha, beta) and strong f-lacunary summability of order (alpha, beta) of sequences of real numbers for 0 < alpha <= beta <= 1; where f is an unbounded modulus and give some inclusion relations between these concepts. In this paper we continue to examine others relations between f-lacunary statistical convergence of order (alpha, beta) and strong f-lacunary summability of order (alpha, beta) for an unbounded modulus f.