On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 1,  2010, pp.59-69
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.1.059
Title & Authors
On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions
Tripathy, Binod Chandra; Dutta, Hemen;

Abstract
The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.
Keywords
n-norm;difference spaces;Orlicz function;paranorm;completeness;
Language
English
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