On the Properties of the Modified λ-Bernstein-Stancu Operators

Autor:	Zhi-Peng Lin, Gülten Torun, Esma Kangal, Ülkü Dinlemez Kantar, Qing-Bo Cai
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	λ-Bernstein-Stancu type operators Bézier Bases functions Korovkin type theorem modulus of continuity rate of approximation Voronovskaja type theorem Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 10, p 1276 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16101276
Popis:	In this study, a new kind of modified λ-Bernstein-Stancu operators is constructed. Compared with the original λ-Bézier basis function, the newly operator basis function is more concise in form and has certain symmetry beauty. The moments and central moments are computed. A Korovkin-type approximation theorem is presented, and the degree of convergence is estimated with respect to the modulus of continuity, Peetre’s K-functional, and functions of the Lipschitz-type class. Moreover, the Voronovskaja type approximation theorem is examined. Finally, some numerical examples and graphics to show convergence are presented.
Databáze:	Directory of Open Access Journals
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