Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function
With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator. Finally, numerical examples have...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5493056 |
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| _version_ | 1850233652811661312 |
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| author | Gurhan Icoz Seda Demir |
| author_facet | Gurhan Icoz Seda Demir |
| author_sort | Gurhan Icoz |
| collection | DOAJ |
| description | With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator. Finally, numerical examples have been provided to demonstrate that the operator is approaching the function. |
| format | Article |
| id | doaj-art-0c781dfedfd94c4594e0145e2f04fb61 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0c781dfedfd94c4594e0145e2f04fb612025-08-20T02:02:52ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5493056Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma FunctionGurhan Icoz0Seda Demir1Department of MathematicsGraduate School of Natural and Applied SciencesWith the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly described operator. Finally, numerical examples have been provided to demonstrate that the operator is approaching the function.http://dx.doi.org/10.1155/2022/5493056 |
| spellingShingle | Gurhan Icoz Seda Demir Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function Journal of Function Spaces |
| title | Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function |
| title_full | Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function |
| title_fullStr | Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function |
| title_full_unstemmed | Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function |
| title_short | Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function |
| title_sort | approximation properties of a new type of gamma operator defined with the help of k gamma function |
| url | http://dx.doi.org/10.1155/2022/5493056 |
| work_keys_str_mv | AT gurhanicoz approximationpropertiesofanewtypeofgammaoperatordefinedwiththehelpofkgammafunction AT sedademir approximationpropertiesofanewtypeofgammaoperatordefinedwiththehelpofkgammafunction |