@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
