On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space

On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space

Year:    2014

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 214–223

Abstract

In this paper, we introduce the class of $n$-normed generalized difference sequences related to $\ell_p$-space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2014.v30.n2.7

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 214–223

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Generalized difference operator $n$-norm $n$-Banach space symmetricity solidness convergence free completeness.