Difference Sequence Spaces Derived by Generalized Weighted Mean
Functional Analysis
2010-07-27 v1
Abstract
In this work, we define new sequence spaces by combining generalized weighted mean and difference operator. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the alpha, beta and gamma duals, and obtain bases for these sequence spaces. Finally, necessary and sufficient conditions on an infinite matrix belonging to the classes (c(u,v,):\ell_{\infty}) and (c(u,v,):c) are established.
Cite
@article{arxiv.1007.4288,
title = {Difference Sequence Spaces Derived by Generalized Weighted Mean},
author = {Harun Polat and Vatan Karakaya and Necip Simsek},
journal= {arXiv preprint arXiv:1007.4288},
year = {2010}
}
Comments
9 Pages, No Figure