On certain class of σ-convergent sequence spaces defined by Orlicz function
Abstract
In this article we introduce the sequence space $V_{\sigma}(M,p,r,\triangle^{u}_{v}),$ where $u\in N $, $M$ is an Orlicz function, $p=(p_{m})$ is any sequence of strictly positive real numbers, $v=(v_{k})$ is any fixed sequence of non zero complex numbers and $r\geq0$. We study some of the properties and inclusion relations that arise on the said space.
Copyright © 2019 Khalid Ebadullah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Ebadullah, On certain class of σ-convergent sequence spaces defined by Orlicz function, J. Math. Comput. Sci. 9 (2019), 372–384. https://doi.org/10.28919/jmcs/3030
BibTeX
@article{Ebadullah2019,
author = {Ebadullah, Khalid},
title = {On certain class of σ-convergent sequence spaces defined by Orlicz function},
journal = {J. Math. Comput. Sci.},
volume = {9},
year = {2019},
pages = {372--384},
doi = {10.28919/jmcs/3030}
}