Triple rough statistical convergence of sequence of Bernstein operators

Abstract

In this paper, using the concept of natural density, we introduce the notion of Bernstein operator of rough statistical convergence of triple sequence. We define the set of Bernstein operator of rough statistical limit points of a triple sequence spaces and obtain Bernstein operator of statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex and also examine the relations between the set of Bernstein operator of rough statistical cluster points and the set of Bernstein operator of rough statistical limit points of a triple sequences.