Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
We study the approximation properties of beta operators of second kind. We obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3827 |
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| _version_ | 1850237870515683328 |
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| author | Vijay Gupta Ulrich Abel Mircea Ivan |
| author_facet | Vijay Gupta Ulrich Abel Mircea Ivan |
| author_sort | Vijay Gupta |
| collection | DOAJ |
| description | We study the approximation properties of beta operators of second
kind. We obtain the rate of convergence of these operators for
absolutely continuous functions having a derivative equivalent to
a function of bounded variation. |
| format | Article |
| id | doaj-art-1d91a7991b7c4451bdc3dc3a46c8e6fc |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d91a7991b7c4451bdc3dc3a46c8e6fc2025-08-20T02:01:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005233827383310.1155/IJMMS.2005.3827Rate of convergence of beta operators of second kind for functions with derivatives of bounded variationVijay Gupta0Ulrich Abel1Mircea Ivan2School of Applied Science, Netaji Subhas Institute of Technology, Azad Hind Fauj Marg, Sector-3, Dwarka, New Delhi 110 045, IndiaFachbereich MND, Fachhochschule Giessen-Friedberg, University of Applied Sciences, Wilhelm-Leuschner-Straβe 13, Friedberg 61169, GermanyDepartment of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 400020, RomaniaWe study the approximation properties of beta operators of second kind. We obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation.http://dx.doi.org/10.1155/IJMMS.2005.3827 |
| spellingShingle | Vijay Gupta Ulrich Abel Mircea Ivan Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation International Journal of Mathematics and Mathematical Sciences |
| title | Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| title_full | Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| title_fullStr | Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| title_full_unstemmed | Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| title_short | Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| title_sort | rate of convergence of beta operators of second kind for functions with derivatives of bounded variation |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3827 |
| work_keys_str_mv | AT vijaygupta rateofconvergenceofbetaoperatorsofsecondkindforfunctionswithderivativesofboundedvariation AT ulrichabel rateofconvergenceofbetaoperatorsofsecondkindforfunctionswithderivativesofboundedvariation AT mirceaivan rateofconvergenceofbetaoperatorsofsecondkindforfunctionswithderivativesofboundedvariation |