http://repository.iitr.ac.in/handle/123456789/10625| Title: | Some approximation properties of Baskakov-Durrmeyer-Stancu operators |
| Authors: | Verma D.K. Gupta V. Agrawal P.N. |
| Published in: | Applied Mathematics and Computation |
| Abstract: | In this paper, we are dealing with a new type of Baskakov-Durrmeyer-Stancu (BDS) operators D n (α,β)(f,x) defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic formulae for these operators. In the last section, we give better error estimations for the operators (1.4) using King type approach. © 2011 Elsevier Inc. All rights reserved. |
| Citation: | Applied Mathematics and Computation (2012), 218(11): 6549-6556 |
| URI: | https://doi.org/10.1016/j.amc.2011.12.031 http://repository.iitr.ac.in/handle/123456789/10625 |
| Issue Date: | 2012 |
| Keywords: | Asymptotic formula Baskakov-Durrmeyer operator Pointwise convergence q-Analogue |
| ISSN: | 963003 |
| Author Scopus IDs: | 37056431000 57200400095 15135210300 |
| Author Affiliations: | Verma, D.K., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India Gupta, V., School of Applied Sciences, Netaji Subhas Institute of Technology, Dwarka, New Delhi 110078, India Agrawal, P.N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India |
| Funding Details: | The authors are thankful to the referees for valuable suggestions, leading to an overall improvement in the paper. The first author is thankful to the “Ministry of Human Resource and Development†India for financial support to carry out the above work. |
| Corresponding Author: | Gupta, V.; School of Applied Sciences, Netaji Subhas Institute of Technology, Dwarka, New Delhi 110078, India; email: vijaygupta2001@hotmail.com |
| Appears in Collections: | Journal Publications [MA] |
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