Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials
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.
Authors
- Manoj Kumar (ORCID: https://orcid.org/0009-0005-0697-3190)
- Nusrat Raza (ORCID: https://orcid.org/0000-0002-1247-6431)
Institutions
- Aligarh Muslim University (IN)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2024-12-04
- DOI
- https://doi.org/10.1186/s13660-024-03239-6
- Citations
- 1
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.71