Approximation Theorems for Generalized Complex Kantorovich-Type Operators
The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in , , the rate of approximation by the q-Ka...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/454579 |
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| _version_ | 1832553371065647104 |
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| author | N. I. Mahmudov M. Kara |
| author_facet | N. I. Mahmudov M. Kara |
| author_sort | N. I. Mahmudov |
| collection | DOAJ |
| description | The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in , , the rate of approximation by the q-Kantorovich operators () is of order versus for the classical Kantorovich operators. |
| format | Article |
| id | doaj-art-f5afc35fe0f346baa2b30e936c5beec9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f5afc35fe0f346baa2b30e936c5beec92025-02-03T05:54:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/454579454579Approximation Theorems for Generalized Complex Kantorovich-Type OperatorsN. I. Mahmudov0M. Kara1Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10, TurkeyEastern Mediterranean University, Gazimagusa, T.R. North Cyprus, Mersiin 10, TurkeyThe order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in , , the rate of approximation by the q-Kantorovich operators () is of order versus for the classical Kantorovich operators.http://dx.doi.org/10.1155/2012/454579 |
| spellingShingle | N. I. Mahmudov M. Kara Approximation Theorems for Generalized Complex Kantorovich-Type Operators Journal of Applied Mathematics |
| title | Approximation Theorems for Generalized Complex Kantorovich-Type Operators |
| title_full | Approximation Theorems for Generalized Complex Kantorovich-Type Operators |
| title_fullStr | Approximation Theorems for Generalized Complex Kantorovich-Type Operators |
| title_full_unstemmed | Approximation Theorems for Generalized Complex Kantorovich-Type Operators |
| title_short | Approximation Theorems for Generalized Complex Kantorovich-Type Operators |
| title_sort | approximation theorems for generalized complex kantorovich type operators |
| url | http://dx.doi.org/10.1155/2012/454579 |
| work_keys_str_mv | AT nimahmudov approximationtheoremsforgeneralizedcomplexkantorovichtypeoperators AT mkara approximationtheoremsforgeneralizedcomplexkantorovichtypeoperators |