Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces
Two concepts—one of statistical convergence and the other of de la Vallée-Poussin mean—play an important role in recent research on summability theory. In this work we define a new type of summability methods and statistical completeness involving the ideas of de la Vallée-Poussin mean and statistic...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/674159 |
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| _version_ | 1832556984132435968 |
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| author | Ayhan Esi |
| author_facet | Ayhan Esi |
| author_sort | Ayhan Esi |
| collection | DOAJ |
| description | Two concepts—one of statistical convergence and the other of de la Vallée-Poussin mean—play an important role in recent research on summability theory. In this work we define a new type of summability methods and statistical completeness involving the ideas of de la Vallée-Poussin mean and statistical convergence in the framework of probabilistic normed spaces. |
| format | Article |
| id | doaj-art-d228752336cf40b6883ffeddc31be7bf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d228752336cf40b6883ffeddc31be7bf2025-02-03T05:43:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/674159674159Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed SpacesAyhan Esi0Department of Mathematics, Science and Art Faculty, Adiyaman University, 02040 Adiyaman, TurkeyTwo concepts—one of statistical convergence and the other of de la Vallée-Poussin mean—play an important role in recent research on summability theory. In this work we define a new type of summability methods and statistical completeness involving the ideas of de la Vallée-Poussin mean and statistical convergence in the framework of probabilistic normed spaces.http://dx.doi.org/10.1155/2014/674159 |
| spellingShingle | Ayhan Esi Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces |
| title_full | Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces |
| title_fullStr | Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces |
| title_full_unstemmed | Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces |
| title_short | Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces |
| title_sort | statistical summability through de la vallee poussin mean in probabilistic normed spaces |
| url | http://dx.doi.org/10.1155/2014/674159 |
| work_keys_str_mv | AT ayhanesi statisticalsummabilitythroughdelavalleepoussinmeaninprobabilisticnormedspaces |