Title: Generalised triple difference of rough intuitionistic statistical convergence in probability of fractional order defined by Musielak-Orlicz function

Authors: N. Subramanian

Addresses: Department of Mathematics, SASTRA University, Thanjavur 613-401, India

Abstract: We generalised the concepts in probability of rough intuitionistic convergence and rough intuitionistic statistically convergence by introducing the generalised difference operator Δ^α_γ of fractional order, where α is a proper fraction and γ = (γ_mnk) is any fixed sequence of non-zero real or complex numbers. We study some properties of this operator and investigate the topological structures of related of triple difference sequence spaces of ξ ³_f (Δ^α_γ x_mnk). The main focus of the present paper is to generalised rough intuitionistic convergence and rough intuitionistic statistical difference of triple difference sequence spaces of χ³ and investigate their topological structures as well as some interesting results concerning the operator Δ^α_γ.

Keywords: analytic sequence; Orlicz function; triple sequences; chi sequence; intuitionistic; statistical convergence; Cesàro C₁,₁,₁-statistical convergence.

DOI: 10.1504/IJCSM.2017.085865

International Journal of Computing Science and Mathematics, 2017 Vol.8 No.4, pp.374 - 383

Received: 23 Jun 2016
Accepted: 13 Feb 2017
Published online: 16 Aug 2017 *

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