Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process
Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/534054 |
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| _version_ | 1850166315348656128 |
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| author | Tuncer Acar Fadime Dirik |
| author_facet | Tuncer Acar Fadime Dirik |
| author_sort | Tuncer Acar |
| collection | DOAJ |
| description | Korovkin-type theorem which is one of the fundamental methods in
approximation theory to describe uniform convergence of any sequence of
positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively.
Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than
ordinary convergence. |
| format | Article |
| id | doaj-art-e072ea5e65ab4cdd807f77d230fc42bf |
| institution | OA Journals |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e072ea5e65ab4cdd807f77d230fc42bf2025-08-20T02:21:29ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/534054534054Korovkin-Type Theorems in Weighted Lp-Spaces via Summation ProcessTuncer Acar0Fadime Dirik1Kırıkkale University, Faculty of Science and Arts, Department of Mathematics, Yahşihan, Kırıkkale, TurkeySinop University, Faculty of Sciences and Arts, Department of Mathematics, 57000 Sinop, TurkeyKorovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1≤p<∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of 𝒜-summability which is a stronger convergence method than ordinary convergence.http://dx.doi.org/10.1155/2013/534054 |
| spellingShingle | Tuncer Acar Fadime Dirik Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process The Scientific World Journal |
| title | Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process |
| title_full | Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process |
| title_fullStr | Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process |
| title_full_unstemmed | Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process |
| title_short | Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process |
| title_sort | korovkin type theorems in weighted lp spaces via summation process |
| url | http://dx.doi.org/10.1155/2013/534054 |
| work_keys_str_mv | AT tunceracar korovkintypetheoremsinweightedlpspacesviasummationprocess AT fadimedirik korovkintypetheoremsinweightedlpspacesviasummationprocess |