On Some Paranormed Zweier IS-Convergent Sequence  Spaces Defined By Orlicz Function

S. Maheswari; A. Pandiarani

doi:10.53555/sfs.v8i3.2622

Authors

S. Maheswari
A. Pandiarani

DOI:

https://doi.org/10.53555/sfs.v8i3.2622

Keywords:

Paranorm, Ideal Statistical convergence, Zweier transform, Orlicz function.

Abstract

The main aim of this article is to introduce a new class of sequence spaces where , a sequence of positive real numbers. We use Zweier transform, an Orlicz function and a bounded sequence of positive real numbers to study the above spaces. We have studied some algebraic and topological properties and also proved some inclusion relation regarding these new spaces.

Author Biographies

S. Maheswari

Research Scholar, Reg No: 20122052092004, PG and Research Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti-628502, TamilNadu,India. Affiliation of Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India.
A. Pandiarani

Associate Professor of Mathematics, Post Graduatme and Research Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti-628502, Tamilnadu, India., Affiliation of Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India.