On Some New Generalized Difference Double Sequence Spaces Defined By Orlicz Functions

Abstract

In this article, the author defines the generalized difference double paranormed sequence spaces $c^{2}\left( \Delta^{m},M,p,q,s\right)$, $c_{o}^{2}\left( \Delta^{m},M,p,q,s\right)$ and $l_{\infty}^{2}\left( \Delta^{m},M,p,q,s\right)$ defined over a seminormed sequence space $(X, q).$ The author also studies their properties and inclusion relations between them. Keywords: P-convergent; difference sequence; modulus function. 2010 Mathematics Subject Classification Primary 42B15; Secondary 40C05.