A new approach to the approximation by positive linear operators in weighted spaces
UDC 517.5 In the present paper, we deal with the problem of approximating a function by positive linear operators in weighted spaces.  In this case, our main tool is  the $P_{p}$-statistical convergence  recently defined by&nbs...
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| Date: | 2026 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6427 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512360743043072 |
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| author | Atlihan, Ö. G. Yurdakadim, T. Taş, E. Atlihan, Ö. G. Yurdakadim, T. Taş, E. |
| author_facet | Atlihan, Ö. G. Yurdakadim, T. Taş, E. Atlihan, Ö. G. Yurdakadim, T. Taş, E. |
| author_sort | Atlihan, Ö. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-23T13:26:38Z |
| description | UDC 517.5
In the present paper, we deal with the problem of approximating a function by positive linear operators in weighted spaces.  In this case, our main tool is  the $P_{p}$-statistical convergence  recently defined by [M. Ünver,  C. Orhan, Numer.  Funct. Anal. and  Optim., 40, 535–547 (2019)].  It is worth noting that the $P_{p}$-statistical convergence and the statistical convergence do not imply each other. |
| doi_str_mv | 10.37863/umzh.v74i11.6427 |
| first_indexed | 2026-03-24T03:27:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6427 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:27:33Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ee/83abfb3bba3fa1f8b48e78e0b1cc0dee |
| spelling | umjimathkievua-article-64272026-02-23T13:26:38Z A new approach to the approximation by positive linear operators in weighted spaces A new approach to the approximation by positive linear operators in weighted spaces Atlihan, Ö. G. Yurdakadim, T. Taş, E. Atlihan, Ö. G. Yurdakadim, T. Taş, E. Korovkin type approximation, Power series method, Statistical convergence, Weighted spaces UDC 517.5 In the present paper, we deal with the problem of approximating a function by positive linear operators in weighted spaces.  In this case, our main tool is  the $P_{p}$-statistical convergence  recently defined by [M. Ünver,  C. Orhan, Numer.  Funct. Anal. and  Optim., 40, 535–547 (2019)].  It is worth noting that the $P_{p}$-statistical convergence and the statistical convergence do not imply each other. УДК 517.5 Новий підхід до апроксимації додатними лінійними операторами у вагових просторах Розглянуто проблему наближення функції додатними лінійними операторами у вагових просторах.  У цьому випадку наш основний інструмент –  це $P_{p}$-статистична збіжність, нещодавно введена в [M. Ünver,  C. Orhan, Numer.  Funct. Anal. and  Optim., 40, 535–547 (2019)].  Варто зазначити, що з $P_{p}$-статистичної збіжності не випливає статистична збіжність, і навпаки.  Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6427 10.37863/umzh.v74i11.6427 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1447 - 1453 Український математичний журнал; Том 74 № 11 (2022); 1447 - 1453 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6427/9325 Copyright (c) 2022 Tugba Yurdakadim |
| spellingShingle | Atlihan, Ö. G. Yurdakadim, T. Taş, E. Atlihan, Ö. G. Yurdakadim, T. Taş, E. A new approach to the approximation by positive linear operators in weighted spaces |
| title | A new approach to the approximation by positive linear operators in weighted spaces |
| title_alt | A new approach to the approximation by positive linear operators in weighted spaces |
| title_full | A new approach to the approximation by positive linear operators in weighted spaces |
| title_fullStr | A new approach to the approximation by positive linear operators in weighted spaces |
| title_full_unstemmed | A new approach to the approximation by positive linear operators in weighted spaces |
| title_short | A new approach to the approximation by positive linear operators in weighted spaces |
| title_sort | new approach to the approximation by positive linear operators in weighted spaces |
| topic_facet | Korovkin type approximation Power series method Statistical convergence Weighted spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6427 |
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