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 Δαγ of fractional order, where α is a proper fraction and γ = (γmnk) 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 3fαγ xmnk). 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 Δαγ.

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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