Document Type : Research Articles

Authors

1 Associate Professor of Mathematics, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India

2 Department of Mathematics, Sastra University, Thanjavur 613 401, India

3 P.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous), Tiruchirappalli--620 023, India.

4 Sastra University, Thanjavur-613 401, India

Abstract

In this article we introduce the sequence spaces $\left[\chi^{3q}_{f\mu },\left\|\left(d\left(x_{1}\right),d\left(x_{2}\right),\cdots, d\left(x_{n-1}\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)}$ and $\left[\Lambda^{3q}_{f\mu },\left\|\left(d\left(x_{1}\right),d\left(x_{2}\right),\cdots, d\left(x_{n-1}\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)},$ associated with the differential operator of sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.

Keywords