Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (3): 545-555.

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On Approximation by Bernstein-Durrmeyer-Type Operators in Movable Compact Disks

Zhaojun Pang1,Dansheng Yu1,*(),Ping Zhou2   

  1. 1 Department of Mathematics, HangZhou Normal University, Hangzhou 310036
    2 Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS B2G 2W5, Canada
  • Received:2019-05-15 Online:2020-06-26 Published:2020-07-15
  • Contact: Dansheng Yu E-mail:dsyu@hznu.edu.cn

Abstract:

To approximate analytic functions in movable compact disks, we introduce a new kind of Bernstein-Durrmeyer-Type polynomials. The order of simultaneous approximation rate of the new polynomials in the movable compact disks is given.

Key words: Complex Bernstein-Durrmeyer type operators, Movable compact disks, Approximation rates

CLC Number: 

  • O174
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