Approximation by Bernstein-Durrmeyer-type operators in compact disks

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Pergamon-Elsevier Science Ltd

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info:eu-repo/semantics/closedAccess

Abstract

In this paper, the order of simultaneous approximation and Voronovskaja-type theorems with quantitative estimate for complex Bernstein-Durrmeyer-type polynomials attached to analytic functions on compact disks are obtained. Our results show that extension of the complex Bernstein-Durrmeyer-type polynomials from real intervals to compact disks in the complex plane extends approximation properties. (c) 2011 Elsevier Ltd. All rights reserved.

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Complex Bernstein-Durrmeyer-type polynomials, Simultaneous approximation, Voronovskaja-type result

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Applied Mathematics Letters

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24

Issue

7

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