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Volume 27, Issue 1
On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function

Binod Chandra Tripathy & Prabhat Chandra

Anal. Theory Appl., 27 (2011), pp. 21-27.

Published online: 2011-01

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  • Abstract

In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, defined by a modulus function $ f$. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

  • AMS Subject Headings

40A05, 46A45

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COPYRIGHT: © Global Science Press

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@Article{ATA-27-21, author = {Binod Chandra Tripathy and Prabhat Chandra}, title = {On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {1}, pages = {21--27}, abstract = {

In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, defined by a modulus function $ f$. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0021-y}, url = {http://global-sci.org/intro/article_detail/ata/4575.html} }
TY - JOUR T1 - On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function AU - Binod Chandra Tripathy & Prabhat Chandra JO - Analysis in Theory and Applications VL - 1 SP - 21 EP - 27 PY - 2011 DA - 2011/01 SN - 27 DO - http://doi.org/10.1007/s10496-011-0021-y UR - https://global-sci.org/intro/article_detail/ata/4575.html KW - paranorm, solid space, symmetric space, difference sequence, modulus function, multiplier sequence. AB -

In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, defined by a modulus function $ f$. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Binod Chandra Tripathy and Prabhat Chandra. (2011). On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function. Analysis in Theory and Applications. 27 (1). 21-27. doi:10.1007/s10496-011-0021-y
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