Double Wijsman lacunary statistical convergence of order α

Abstract

In this paper, we introduce the concepts of Wijsman strongly p-lacunary summability of order α, Wijsman lacunary statistical convergence of order α and Hausdorff lacunary statistical convergence of order α for double set sequences. Also, we investigate some properties of these new concepts and examine the existence of some relationships between them. Furthermore, we study the relationships between these new concepts and some concepts in the literature.