On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus. (27th November 2020)

• Record Type: Journal Article
• Authors: Cai, Qing-Bo; Zhou, Guorong
• Other Names: Mursaleen Mohammad Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-11-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8832627
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In the present paper, Durrmeyer type λ -Bernstein operators via (p, q )-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained. Finally, some numerical examples are given to show that these operators we defined converge faster in some λ cases than Durrmeyer type (p, q )-Bernstein operators.