Approximation by the -Szász-Mirakjan Operators
This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation b...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/754217 |
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| _version_ | 1832563788196347904 |
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| author | N. I. Mahmudov |
| author_facet | N. I. Mahmudov |
| author_sort | N. I. Mahmudov |
| collection | DOAJ |
| description | This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators (
) is of order versus 1/n for the classical Szász-Mirakjan operators. |
| format | Article |
| id | doaj-art-839d51e6409241e2b570ffc8a3dfe5bd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-839d51e6409241e2b570ffc8a3dfe5bd2025-02-03T01:12:33ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/754217754217Approximation by the -Szász-Mirakjan OperatorsN. I. Mahmudov0Department of Mathematics, Eastern Mediterranean University, Gazimagusa, North Cyprus, Mersin 10, TurkeyThis paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators ( ) is of order versus 1/n for the classical Szász-Mirakjan operators.http://dx.doi.org/10.1155/2012/754217 |
| spellingShingle | N. I. Mahmudov Approximation by the -Szász-Mirakjan Operators Abstract and Applied Analysis |
| title | Approximation by the -Szász-Mirakjan Operators |
| title_full | Approximation by the -Szász-Mirakjan Operators |
| title_fullStr | Approximation by the -Szász-Mirakjan Operators |
| title_full_unstemmed | Approximation by the -Szász-Mirakjan Operators |
| title_short | Approximation by the -Szász-Mirakjan Operators |
| title_sort | approximation by the szasz mirakjan operators |
| url | http://dx.doi.org/10.1155/2012/754217 |
| work_keys_str_mv | AT nimahmudov approximationbytheszaszmirakjanoperators |