ON SOME TOPOLOGICAL PROPERTIES OF
GENERALIZED DIFFERENCE SEQUENCE SPACES DEFINED
Gülcan Atıci Turan
Department of Mathematics
Fac. of Arts and Sciences
Muş Alparslan University
C block, Diyarbakır Road, 49250 - Muş, TURKEY

Abstract

In this paper, we define new generalized difference sequence spaces $\ell _{\lambda }^{\mathcal{M}}(\Delta _{v}^{m},u)$ and $\ell _{\mathcal{N}}^{\lambda }(\Delta _{v}^{m},u)$, where $\mathcal{M}=\left( M_{k}\right) $ and $\mathcal{N}=\left( N_{k}\right) $ are sequences of Orlicz functions such that $M_{k}$ and $N_{k}$ are mutually complementary for each $k$. We also examine some topological properties and establish some inclusion relations between these spaces.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 2
Year: 2017

DOI: 10.12732/ijam.v30i2.6

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