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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| Datum: | 2026 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6427 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
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| DOI: | 10.37863/umzh.v74i11.6427 |