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

B. C. Tripathy, I. K. Rana & S. Borgohain

doi:10.4208/ata.2014.v30.n2.7

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

Authors

B. C. Tripathy, I. K. Rana & S. Borgohain

DOI:

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

Keywords:

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

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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Published

2014-06-05

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Issue

Vol. 30 No. 2 (2014)

Section

Articles

How to Cite

On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space. (2014). Analysis in Theory and Applications, 30(2), 214-223. https://doi.org/10.4208/ata.2014.v30.n2.7