Open Access Research

On generalized A- difference strongly summable sequence spaces defined by ideal convergence on a real n-normed space

Ekrem Savas

Author Affiliations

Department of Mathematics, Istanbul Commerce University, Uskudar-Istanbul, Turkey

Journal of Inequalities and Applications 2012, 2012:87 doi:10.1186/1029-242X-2012-87

Published: 16 April 2012

Abstract

In this article, we shall introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, an Orlicz function and difference operator defined on n-normed spaces. We study these spaces for some linear topological structures and algebraic properties. We also give some relations related to these sequence spaces.

Mathematics Subject Classification 2010: 40A05; 40B50; 46A19; 46A45.

Keywords:
I-convergence; infinite matrix; difference space; n-norm; Orlicz function