Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators. (13th September 2021)

• Record Type: Journal Article
• Authors: Aharouch, Lahsen; Ansari, Khursheed J.; Mursaleen, M.
• Other Names: Di Fratta Giovanni Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6673663
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too. We study the rate of point-wise convergence for the functions having a derivative of bounded variation. Furthermore, we establish the quantitative Voronovskaja-type formula in terms of Ditzian-Totik modulus of smoothness at the end.