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Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators
oleh: Yu-Jie Liu, Wen-Tao Cheng, Wen-Hui Zhang, Pei-Xin Ye
Format: | Article |
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Diterbitkan: | MDPI AG 2022-12-01 |
Deskripsi
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 continuity and <i>K</i>-functional. Finally, we derive the rate of convergence for functions with a derivative of bounded variation. The results show that the new operators have good approximation properties.