Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions
We introduce a new sequence of linear positive operators Bn,α(f,x), which is the Bezier variant of the well-known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f,x) for functions of bounded variation. We also propose an open problem for the readers.
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202203361 |
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| _version_ | 1832568256404127744 |
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| author | Vijay Gupta |
| author_facet | Vijay Gupta |
| author_sort | Vijay Gupta |
| collection | DOAJ |
| description | We introduce a new sequence of linear positive operators Bn,α(f,x), which is the Bezier variant of the well-known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f,x) for functions of bounded variation. We also propose an open problem for the readers. |
| format | Article |
| id | doaj-art-ed1eb2787d9440c9b281b1502ba4eae2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ed1eb2787d9440c9b281b1502ba4eae22025-02-03T00:59:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132847147910.1155/S0161171202203361Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functionsVijay Gupta0School of Applied Sciences, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector 3 Dwarka, New Delhi 110045, IndiaWe introduce a new sequence of linear positive operators Bn,α(f,x), which is the Bezier variant of the well-known Baskakov Beta operators and estimate the rate of convergence of Bn,α(f,x) for functions of bounded variation. We also propose an open problem for the readers.http://dx.doi.org/10.1155/S0161171202203361 |
| spellingShingle | Vijay Gupta Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions International Journal of Mathematics and Mathematical Sciences |
| title | Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions |
| title_full | Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions |
| title_fullStr | Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions |
| title_full_unstemmed | Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions |
| title_short | Rate of convergence on Baskakov-Beta-Bezier operators for bounded variation functions |
| title_sort | rate of convergence on baskakov beta bezier operators for bounded variation functions |
| url | http://dx.doi.org/10.1155/S0161171202203361 |
| work_keys_str_mv | AT vijaygupta rateofconvergenceonbaskakovbetabezieroperatorsforboundedvariationfunctions |