Better approximation by Stancu Beta operators in compact interval
The present paper deals with the study of Stancu-Beta operators which preserve the constant as well as linear functions but not the quadratic ones. We apply the King's approach to propose the modified form of these operators, so as they preserve the quadratic functions, which results i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2011-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1044 |
| _version_ | 1818006627927719936 |
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| author | Vijay Gupta Rani Yadav |
| author_facet | Vijay Gupta Rani Yadav |
| author_sort | Vijay Gupta |
| collection | DOAJ |
| description | The present paper deals with the study of Stancu-Beta operators
which preserve the constant as well as linear functions but not the
quadratic ones. We apply the King's approach to propose the modified
form of these operators, so as they preserve the quadratic
functions, which results in better approximation for the modified
operators in the compact interval \((0,1)\) for these operators. |
| first_indexed | 2024-04-14T05:04:41Z |
| format | Article |
| id | doaj.art-8e2c680f810b419b8f39cc8dcdbe7fac |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T05:04:41Z |
| publishDate | 2011-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-8e2c680f810b419b8f39cc8dcdbe7fac2022-12-22T02:10:48ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2011-08-01402Better approximation by Stancu Beta operators in compact intervalVijay Gupta0Rani Yadav1Netaji Subhas Institute of TechnologyNetaji Subhas Institute of TechnologyThe present paper deals with the study of Stancu-Beta operators which preserve the constant as well as linear functions but not the quadratic ones. We apply the King's approach to propose the modified form of these operators, so as they preserve the quadratic functions, which results in better approximation for the modified operators in the compact interval \((0,1)\) for these operators.https://ictp.acad.ro/jnaat/journal/article/view/1044positive linear operatorsKorovkin-type approximation theoremStancu-Beta operators |
| spellingShingle | Vijay Gupta Rani Yadav Better approximation by Stancu Beta operators in compact interval Journal of Numerical Analysis and Approximation Theory positive linear operators Korovkin-type approximation theorem Stancu-Beta operators |
| title | Better approximation by Stancu Beta operators in compact interval |
| title_full | Better approximation by Stancu Beta operators in compact interval |
| title_fullStr | Better approximation by Stancu Beta operators in compact interval |
| title_full_unstemmed | Better approximation by Stancu Beta operators in compact interval |
| title_short | Better approximation by Stancu Beta operators in compact interval |
| title_sort | better approximation by stancu beta operators in compact interval |
| topic | positive linear operators Korovkin-type approximation theorem Stancu-Beta operators |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1044 |
| work_keys_str_mv | AT vijaygupta betterapproximationbystancubetaoperatorsincompactinterval AT raniyadav betterapproximationbystancubetaoperatorsincompactinterval |