A new complex generalized Bernstein-Schurer operator

In this paper, we consider the complex form of a new generalization of Bernstein-Schurer operators. We obtain some quantitative upper estimates for the approximation of these operators attached to analytic functions. Moreover, we prove that these operators preserve some properties of the original fu...

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Veröffentlicht in:Carpathian Journal of Mathematics 2021-01, Vol.37 (1), p.81-89
1. Verfasser: Çetin, Nursel
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we consider the complex form of a new generalization of Bernstein-Schurer operators. We obtain some quantitative upper estimates for the approximation of these operators attached to analytic functions. Moreover, we prove that these operators preserve some properties of the original function such as univalence, starlikeness, convexity and spirallikeness.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2021.01.08