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Title: Durrmeyer-Type Generalization of -Bernstein Operators
Authors: Kajla, Arun
Mohiuddine, S,A
Alotaibi, Abdullah
Keywords: Positive Approximation, Steklov mean.
Issue Date: 2022
Publisher: Mathematics
Abstract: In the present manuscript, we consider -Bernstein-Durrmeyer operators involving a strictly positive continuous function. Firstly, we prove a Voronovskaja type, quantitative Voronovskaja type and Gr¨ uss-Voronovskaja type asymptotic formula, the rate of convergence by means of the modulus of continuity and for functions in a Lipschitz type space. Finally, we show that the numerical examples which describe the validity of the theoretical example and the effectiveness of the defined operators.
Appears in Collections:School of Basic Sciences

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