Durrmeyer-Type Generalization of -Bernstein Operators
Date
2022
Journal Title
Journal ISSN
Volume Title
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.
Description
Keywords
Positive Approximation, Steklov mean.