q-Parametric Bleimann Butzer and Hahn Operators
We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C1+x*[0,∞). We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for q-BBH operators for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-10-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/816367 |
| _version_ | 1818518772920614912 |
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| author | P. Sabancıgil N. I. Mahmudov |
| author_facet | P. Sabancıgil N. I. Mahmudov |
| author_sort | P. Sabancıgil |
| collection | DOAJ |
| description | We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C1+x*[0,∞). We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for q-BBH operators for arbitrary fixed 0<q<1. We give explicit formulas of Voronovskaja-type for the q-BBH operators for 0<q<1. Also, we study convergence of the derivative of q-BBH operators. |
| first_indexed | 2024-12-11T01:14:51Z |
| format | Article |
| id | doaj.art-9d316ab3d7af4bedb4dd996d48a8efe0 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T01:14:51Z |
| publishDate | 2008-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-9d316ab3d7af4bedb4dd996d48a8efe02022-12-22T01:25:55ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-10-01200810.1155/2008/816367q-Parametric Bleimann Butzer and Hahn OperatorsP. SabancıgilN. I. MahmudovWe introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C1+x*[0,∞). We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for q-BBH operators for arbitrary fixed 0<q<1. We give explicit formulas of Voronovskaja-type for the q-BBH operators for 0<q<1. Also, we study convergence of the derivative of q-BBH operators.http://dx.doi.org/10.1155/2008/816367 |
| spellingShingle | P. Sabancıgil N. I. Mahmudov q-Parametric Bleimann Butzer and Hahn Operators Journal of Inequalities and Applications |
| title | q-Parametric Bleimann Butzer and Hahn Operators |
| title_full | q-Parametric Bleimann Butzer and Hahn Operators |
| title_fullStr | q-Parametric Bleimann Butzer and Hahn Operators |
| title_full_unstemmed | q-Parametric Bleimann Butzer and Hahn Operators |
| title_short | q-Parametric Bleimann Butzer and Hahn Operators |
| title_sort | q parametric bleimann butzer and hahn operators |
| url | http://dx.doi.org/10.1155/2008/816367 |
| work_keys_str_mv | AT psabanc305gil qparametricbleimannbutzerandhahnoperators AT nimahmudov qparametricbleimannbutzerandhahnoperators |