Wijsman Orlicz Asymptotically Ideal ϕ-Statistical Equivalent Sequences. (28th October 2013)

• Record Type: Journal Article
• Authors: Hazarika, Bipan
• Other Names: Sugimoto Mitsuru Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-10-28
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/257181
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : An ideal I is a family of subsets of positive integers ℕ which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal ϕ -statistical equivalent sequence in Wijsman sense and present some definitions which are the natural combination of the definition of asymptotic equivalence, statistical equivalent, ϕ -statistical equivalent sequences in Wijsman sense. Finally, we introduce the notion of Cesaro Orlicz asymptotically ϕ -equivalent sequences in Wijsman sense and establish their relationship with other classes.