Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials
Abstract This article explores a Chlodowsky-type extension of the Kantorovich variant of Szász operators based on the associated λ-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determine...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-024-03239-6 |
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| author | Nusrat Raza Manoj Kumar |
| author_facet | Nusrat Raza Manoj Kumar |
| author_sort | Nusrat Raza |
| collection | DOAJ |
| description | Abstract This article explores a Chlodowsky-type extension of the Kantorovich variant of Szász operators based on the associated λ-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity and the Ditzian-Totik modulus of continuity. Additionally, the αβ-statistical convergence properties of the operators are derived. Additional approximation outcomes are also formulated within the context of the polynomial weighted space. Finally, the theoretical results are supported by numerical and graphical examples for different parameters. |
| format | Article |
| id | doaj-art-601941553b7e4085bfef4209e1d030e9 |
| institution | OA Journals |
| issn | 1029-242X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-601941553b7e4085bfef4209e1d030e92025-08-20T02:31:00ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-12-012024111910.1186/s13660-024-03239-6Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomialsNusrat Raza0Manoj Kumar1Mathematics Section, Women’s College, Aligarh Muslim UniversityDepartment of Mathematics, Aligarh Muslim UniversityAbstract This article explores a Chlodowsky-type extension of the Kantorovich variant of Szász operators based on the associated λ-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity and the Ditzian-Totik modulus of continuity. Additionally, the αβ-statistical convergence properties of the operators are derived. Additional approximation outcomes are also formulated within the context of the polynomial weighted space. Finally, the theoretical results are supported by numerical and graphical examples for different parameters.https://doi.org/10.1186/s13660-024-03239-6Szász operatorsAssociated λ-polynomialsRate of convergenceModulus of continuityαβ-statistical convergenceWeighted approximation |
| spellingShingle | Nusrat Raza Manoj Kumar Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials Journal of Inequalities and Applications Szász operators Associated λ-polynomials Rate of convergence Modulus of continuity αβ-statistical convergence Weighted approximation |
| title | Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials |
| title_full | Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials |
| title_fullStr | Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials |
| title_full_unstemmed | Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials |
| title_short | Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials |
| title_sort | approximation with chlodowsky variant of kantorovich stancu operators employing associated λ polynomials |
| topic | Szász operators Associated λ-polynomials Rate of convergence Modulus of continuity αβ-statistical convergence Weighted approximation |
| url | https://doi.org/10.1186/s13660-024-03239-6 |
| work_keys_str_mv | AT nusratraza approximationwithchlodowskyvariantofkantorovichstancuoperatorsemployingassociatedlpolynomials AT manojkumar approximationwithchlodowskyvariantofkantorovichstancuoperatorsemployingassociatedlpolynomials |