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Title: Quantitative estimates for a new complex q-Durrmeyer type operators on compact disks
Authors: Kumar A.S.
Agrawal P.N.
Acar T.
Published in: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Abstract: In the present article, the upper bound and Voronovskaya type result with quantitative estimate and the exact degree of approximation for a new complex q-Bernstein-Durrmeyer operators attached to analytic functions on compact disks are obtained. In this way, we put in evidence the over convergence phenomenon for the q-Bernstein-Durrmeyer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane. © 2018 Politechnica University of Bucharest. All rights reserved.
Citation: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics (2018), 80(1): 191-210
Issue Date: 2018
Publisher: Politechnica University of Bucharest
Keywords: Complex approximation
Exact degree of approximation
Q-Durrmeyer type operators
Voronovskaja-type result
ISSN: 12237027
Author Scopus IDs: 57211274425
Author Affiliations: Kumar, A.S., Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur, India
Agrawal, P.N., Department of Mathematics, Indian Institute of Technology, Roorkee, India
Acar, T., Department of Mathematics, Kirikkale University, Turkey
Appears in Collections:Journal Publications [MA]

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