Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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 convergence for complex genuine q-Bernstein-Durrmeyer polynomials attached to analytic functions in compact disks are given.
In particular, it is proved that, for functions analytic in z∈ℂ:z
We give explicit formulas of Voronovskaja type for the genuine q-Bernstein-Durrmeyer for q>1.
This paper represents an answer to the open problem initiated by Gal in (2013, page 115).
American Psychological Association (APA)
Mahmudov, Nazim Idrisoglu. 2014. Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015154
Modern Language Association (MLA)
Mahmudov, Nazim Idrisoglu. Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1015154
American Medical Association (AMA)
Mahmudov, Nazim Idrisoglu. Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015154
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015154