Orlicz difference sequence spaces generated by infinite matrices and de la Vallée-Poussin mean of order α

In this paper we introduce the spaces V^λ[A,M,Δ,p]o,V^λ[A,M,Δ,p] and V^λ[A,M,Δ,p]∞ generated by infinite matrices defined by Orlicz functions. Also we introduce the concept of S^λ[A,Δ]−convergence and derive some results between the spaces S^λ[A,Δ] and V^λ[A,Δ]. Further, we study some geometrical pr...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Egyptian Mathematical Society 2016-10, Vol.24 (4), p.545-554
Main Authors: Hazarika, Bipan, Esi, Ayhan, Esi, Ayten, Tamang, Karan
Format: Article
Language:English
Subjects:
Infinite matrix
Orlicz function
Statistical convergence
λ-sequence
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we introduce the spaces V^λ[A,M,Δ,p]o,V^λ[A,M,Δ,p] and V^λ[A,M,Δ,p]∞ generated by infinite matrices defined by Orlicz functions. Also we introduce the concept of S^λ[A,Δ]−convergence and derive some results between the spaces S^λ[A,Δ] and V^λ[A,Δ]. Further, we study some geometrical properties such as order continuity, the Fatou property and the Banach–Saks property of the new space V^λα[A,Δ,p]∞. Finally, we introduce the notion of almost λ-statistically-[A, Δ]-convergence of order α or S^λα[A,Δ]−convergence and obtain some inclusion relations between the set S^λα[A,Δ] and the space V^λα[A,Δ,p]∞.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2015.12.004