Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators | Zendy

L. Aharouch | Zendy; Khursheed J‎. ‎Ansari | Zendy; M. ‎Mursaleen | Zendy

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Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators

Author(s) -

L. Aharouch,

Khursheed J‎. ‎Ansari,

M. ‎Mursaleen

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6673663

Subject(s) - modulus of continuity , bézier curve , mathematics , lipschitz continuity , rate of convergence , smoothness , type (biology) , bounded variation , mathematical analysis , convergence (economics) , baskakov operator , modulus , function (biology) , bounded function , geometry , operator theory , computer science , ecology , channel (broadcasting) , computer network , economics , biology , economic growth , evolutionary biology , microlocal analysis , fourier integral operator

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.

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