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On approximation by Bernstein-Durrmeyer-type operators in movable compact disks. (Chinese. English summary) Zbl 1463.30180

Summary: In order 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.

MSC:

30E10 Approximation in the complex plane
41A25 Rate of convergence, degree of approximation
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