LACUNARY STRONGLY ALMOST SUMMABLE SEQUENCES

Abstract

The purpose of this paper is to introduce the concepts of q-lacunary strongly almost convergence with respect to a modulus function and q-lacunary almost statistical convergence. We establish some connections between q-lacunary strongly almost convergence and q-lacunary almost statistical convergence. It is also shown that if a sequence is q-lacunary strongly almost convergent with respect to a modulus function then it is q-lacunary almost statistically convergent.