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Volume 30, Issue 2
On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space

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

Anal. Theory Appl., 30 (2014), pp. 214-223.

Published online: 2014-06

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  • 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.

  • AMS Subject Headings

40A05, 40A25, 40A30, 40C05

  • Copyright

COPYRIGHT: © Global Science Press

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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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