Difference Sequence Spaces Derived by Generalized Weighted Mean

Details Difference Sequence Spaces Derived by Generalized Weighted Mean Difference Sequence Spaces Derived by Generalized Weighted Mean

2010-07-25

arxiv.org/abs/1007.4288v1

Mathematics

Functional Analysis

9 Pages, No Figure

Scientific paper

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.

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