On the generalized Mellin integral operators
| Autor: | Topuz Cem, Ozsarac Firat, Aral Ali |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Demonstratio Mathematica, Vol 57, Iss 1, Pp 246-262 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2391-4661 2023-0133 |
| DOI: | 10.1515/dema-2023-0133 |
| Popis: | In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator. Then, we express the Taylor formula including Mellin derivatives with integral remainder. Later, a Voronovskaya-type theorem is proved. In the last part, we state order of approximation of the modified operators, and the obtained results are restated for the Mellin-Gauss-Weierstrass operator. |
| Databáze: | Directory of Open Access Journals |
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