http://repository.iitr.ac.in/handle/123456789/10445| Title: | On discrete q-beta operators |
| Authors: | Gupta V. Agrawal P.N. Verma D.K. |
| Published in: | Annali dell'Universita di Ferrara |
| Abstract: | The aim of the present paper is to introduce and study the q-analogue of discrete beta operators. First, we show some approximation properties of these operators. Then, we establish some global direct error estimates for the above operators using the second order Ditzian-Totik modulus of smoothness. Finally, we define and study the limit discrete q-beta operator. © 2011 Università degli Studi di Ferrara. |
| Citation: | Annali dell'Universita di Ferrara (2011), 57(1): 39-66 |
| URI: | https://doi.org/10.1007/s11565-011-0118-4 http://repository.iitr.ac.in/handle/123456789/10445 |
| Issue Date: | 2011 |
| Keywords: | Ditzian-Totik modulus of smoothness q-beta operators q-integer |
| ISSN: | 4303202 |
| Author Scopus IDs: | 57200400095 15135210300 37056431000 |
| Author Affiliations: | Gupta, V., School of Applied Sciences, Netaji Subhash Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India Agrawal, P.N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India Verma, D.K., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India |
| Funding Details: | Acknowledgements The authors are thankful to the referee for valuable suggestions, lading to the over-all improvements in the paper. The last author is also thankful to the “Ministry of Human Resource and Development, India†for financial support to carry out the research work. |
| Corresponding Author: | Gupta, V.; School of Applied Sciences, Netaji Subhash Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India; email: vijaygupta2001@hotmail.com |
| Appears in Collections: | Journal Publications [MA] |
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