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Approximation by genuine Durrmeyer-Stancu polynomials in compact disks. (English) Zbl 1255.41012

Summary: We deal with approximating properties and Voronovskaja-type results with quantitative estimates for complex genuine Durrmeyer-Stancu polynomials attached to analytic functions on compact disks. Some estimates on the rate of convergence are given. Also, the exact order of approximation is studied.

MSC:

41A36 Approximation by positive operators
41A35 Approximation by operators (in particular, by integral operators)
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References:

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