Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators. (8th May 2021)

• Record Type: Journal Article
• Authors: Cai, Qing-Bo; Torun, Gülten; Dinlemez Kantar, Ülkü
• Other Names: Zhou Ding-Xuan Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-05-08
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/5590439
• Languages: English
• ISSNs: 2314-4629

Abstract

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 G m, λ α, β f, x to f x with respect to m values.