On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function
Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0021-y
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 21–27
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: paranorm solid space symmetric space difference sequence modulus function multiplier sequence.