Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators

We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator. Then, the local and global approximation theorems are obtained by using the classical modulus of...

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Bibliographic Details
Main Authors: Yu-Jie Liu, Wen-Tao Cheng, Wen-Hui Zhang, Pei-Xin Ye
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/1/5