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.

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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
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article

Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials

Manoj Kumar, Nusrat Raza
1 citations
Journal of Inequalities and Applications
Approximation Theory and Sequence Spaces
0.71
article

Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated λ-polynomials

Manoj Kumar, Nusrat Raza
article en
1 citations

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.

Journal of Inequalities and ApplicationsVol. 2024(1)
Aligarh Muslim University (IN)
Openalex Percentile: Top 24%
Approximation Theory and Sequence Spaces
0.71
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