On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space
Anal. Theory Appl., 30 (2014), pp. 214-223.
Published online: 2014-06
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@Article{ATA-30-214,
author = {B. C. Tripathy, I. K. Rana and S. Borgohain},
title = {On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {2},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n2.7}, url = {http://global-sci.org/intro/article_detail/ata/4486.html} }
TY - JOUR
T1 - On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space
AU - B. C. Tripathy, I. K. Rana & S. Borgohain
JO - Analysis in Theory and Applications
VL - 2
SP - 214
EP - 223
PY - 2014
DA - 2014/06
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n2.7
UR - https://global-sci.org/intro/article_detail/ata/4486.html
KW - Generalized difference operator, $n$-norm, $n$-Banach space, symmetricity, solidness, convergence free, completeness.
AB -
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.
B. C. Tripathy, I. K. Rana and S. Borgohain. (2014). On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space.
Analysis in Theory and Applications. 30 (2).
214-223.
doi:10.4208/ata.2014.v30.n2.7
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