Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means

We determine the necessary and sufficient conditions to characterize the matrices which transform convex sequences and Maddox sequences into 𝑉𝜎(𝜃) and 𝑉∞𝜎(𝜃).

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Bibliographic Details
Main Authors: M. Mursaleen, S. A. Mohiuddine
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/612671
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author M. Mursaleen
S. A. Mohiuddine
author_facet M. Mursaleen
S. A. Mohiuddine
author_sort M. Mursaleen
collection DOAJ
description We determine the necessary and sufficient conditions to characterize the matrices which transform convex sequences and Maddox sequences into 𝑉𝜎(𝜃) and 𝑉∞𝜎(𝜃).
format Article
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institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-ffbc0683557c452fb408d0c209867cdf2025-02-03T01:10:47ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/612671612671Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant MeansM. Mursaleen0S. A. Mohiuddine1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe determine the necessary and sufficient conditions to characterize the matrices which transform convex sequences and Maddox sequences into 𝑉𝜎(𝜃) and 𝑉∞𝜎(𝜃).http://dx.doi.org/10.1155/2012/612671
spellingShingle M. Mursaleen
S. A. Mohiuddine
Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
Journal of Function Spaces and Applications
title Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
title_full Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
title_fullStr Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
title_full_unstemmed Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
title_short Some Matrix Transformations of Convex and Paranormed Sequence Spaces into the Spaces of Invariant Means
title_sort some matrix transformations of convex and paranormed sequence spaces into the spaces of invariant means
url http://dx.doi.org/10.1155/2012/612671
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AT samohiuddine somematrixtransformationsofconvexandparanormedsequencespacesintothespacesofinvariantmeans