Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces

The purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.

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Bibliographic Details
Main Authors: S. A. Mohiuddine, Abdullah Alotaibi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/215612
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author S. A. Mohiuddine
Abdullah Alotaibi
author_facet S. A. Mohiuddine
Abdullah Alotaibi
author_sort S. A. Mohiuddine
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description The purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.
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institution Kabale University
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series Abstract and Applied Analysis
spelling doaj-art-ffe50652bdf546ef95eeb46de54201032025-02-03T01:30:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/215612215612Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed SpacesS. A. Mohiuddine0Abdullah Alotaibi1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.http://dx.doi.org/10.1155/2013/215612
spellingShingle S. A. Mohiuddine
Abdullah Alotaibi
Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
Abstract and Applied Analysis
title Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
title_full Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
title_fullStr Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
title_full_unstemmed Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
title_short Statistical Summability of Double Sequences through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
title_sort statistical summability of double sequences through de la vallee poussin mean in probabilistic normed spaces
url http://dx.doi.org/10.1155/2013/215612
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AT abdullahalotaibi statisticalsummabilityofdoublesequencesthroughdelavalleepoussinmeaninprobabilisticnormedspaces