On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function

doi:10.1007/s10496-011-0021-y

On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function

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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

Pages: 7

Keywords: paranorm solid space symmetric space difference sequence modulus function multiplier sequence.

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