A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modul...
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| Main Authors: | , , |
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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/10.1155/2012/867203 |
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| _version_ | 1832559916870533120 |
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| author | Fatma Taşdelen Rabia Aktaş Abdullah Altın |
| author_facet | Fatma Taşdelen Rabia Aktaş Abdullah Altın |
| author_sort | Fatma Taşdelen |
| collection | DOAJ |
| description | We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain
convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials. |
| format | Article |
| id | doaj-art-9339c6c5937445e999b2f4a587e8c7f5 |
| 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-9339c6c5937445e999b2f4a587e8c7f52025-02-03T01:28:58ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/867203867203A Kantorovich Type of Szasz Operators Including Brenke-Type PolynomialsFatma Taşdelen0Rabia Aktaş1Abdullah Altın2Department of Mathematics, Faculty of Science, Ankara University, Tandoğan, 06100 Ankara, TurkeyDepartment of Mathematics, Faculty of Science, Ankara University, Tandoğan, 06100 Ankara, TurkeyDepartment of Mathematics, Faculty of Science, Ankara University, Tandoğan, 06100 Ankara, TurkeyWe give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials.http://dx.doi.org/10.1155/2012/867203 |
| spellingShingle | Fatma Taşdelen Rabia Aktaş Abdullah Altın A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials Abstract and Applied Analysis |
| title | A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials |
| title_full | A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials |
| title_fullStr | A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials |
| title_full_unstemmed | A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials |
| title_short | A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials |
| title_sort | kantorovich type of szasz operators including brenke type polynomials |
| url | http://dx.doi.org/10.1155/2012/867203 |
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