Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1

This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1. Quantitative estimates of the convergence, the Voronovskaja-type theorem, and saturation of c...

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Bibliographic Details
Main Author: Nazim I. Mahmudov
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/959586
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