http://repository.iitr.ac.in/handle/123456789/10552| 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 |
| URI: | http://repository.iitr.ac.in/handle/123456789/10552 |
| Issue Date: | 2018 |
| Publisher: | Politechnica University of Bucharest |
| Keywords: | Complex approximation Exact degree of approximation Q-Durrmeyer type operators Q-integers Voronovskaja-type result |
| ISSN: | 12237027 |
| Author Scopus IDs: | 57211274425 15135210300 55626313800 |
| 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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