Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar and Ding-Xuan Zhou

Journal of Mathematics, 2021, vol. 2021, 1-17

Abstract: The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions. Then, a Voronovskaja-type theorem was given for the asymptotic behavior for these operators. Finally, numerical examples and their graphs were given to demonstrate the convergence of Gm,λα,βf,x to fx with respect to m values.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5590439

DOI: 10.1155/2021/5590439

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