The concept of statistical convergence was introduced by H. Fast, and studied by various authors. Recently, by using the idea of statistical convergence, M. Balcerzak, K. Dems and A. Komisarski introduced a new type of convergence for sequences of functions called equistatistical convergence. In the present paper we introduce the concepts of αβ-statistical convergence and αβ-statistical convergence of order γ . We show that αβ-statistical convergence is a non-trivial extension of ordinary and… CONTINUE READING