Convergence properties of generalized Lupaş-Kantorovich operators
In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$. For these new operators we give weighted approximation, Voronovskaya type theorem, quantitative estima...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2021-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/4692 |
| _version_ | 1797205806724153344 |
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| author | M. Qasim A. Khan Z. Abbas M. Mursaleen |
| author_facet | M. Qasim A. Khan Z. Abbas M. Mursaleen |
| author_sort | M. Qasim |
| collection | DOAJ |
| description | In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$. For these new operators we give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation. |
| first_indexed | 2024-04-24T08:56:59Z |
| format | Article |
| id | doaj.art-cdea03e909fd46f49f1e5beff93414df |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:59Z |
| publishDate | 2021-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-cdea03e909fd46f49f1e5beff93414df2024-04-16T07:09:07ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102021-12-0113381883010.15330/cmp.13.3.818-8304094Convergence properties of generalized Lupaş-Kantorovich operatorsM. Qasim0A. Khan1Z. Abbas2M. Mursaleen3Baba Ghulam Shah Badshah University, Rajouri-185234, Jammu and Kashmir, IndiaAligarh Muslim University, Aligarh 202002, IndiaBaba Ghulam Shah Badshah University, Rajouri-185234, Jammu and Kashmir, IndiaAligarh Muslim University, Aligarh 202002, India; China Medical University Hospital, China Medical University, Taichung, TaiwanIn the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$. For these new operators we give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation.https://journals.pnu.edu.ua/index.php/cmp/article/view/4692lupaş operatorkantorovich operatorkorovkin type theoremconvergence theoremvoronovskaya type theorem |
| spellingShingle | M. Qasim A. Khan Z. Abbas M. Mursaleen Convergence properties of generalized Lupaş-Kantorovich operators Karpatsʹkì Matematičnì Publìkacìï lupaş operator kantorovich operator korovkin type theorem convergence theorem voronovskaya type theorem |
| title | Convergence properties of generalized Lupaş-Kantorovich operators |
| title_full | Convergence properties of generalized Lupaş-Kantorovich operators |
| title_fullStr | Convergence properties of generalized Lupaş-Kantorovich operators |
| title_full_unstemmed | Convergence properties of generalized Lupaş-Kantorovich operators |
| title_short | Convergence properties of generalized Lupaş-Kantorovich operators |
| title_sort | convergence properties of generalized lupas kantorovich operators |
| topic | lupaş operator kantorovich operator korovkin type theorem convergence theorem voronovskaya type theorem |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/4692 |
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