Rough Statistical Convergence on Biquadratic Sequences

Uma Srivastava

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

Keywords: Rough statistical convergence, Natural density, biquadratic sequences, chi sequence