Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter $\alpha \in [0,1]$ . We obtain the convergence of proposed operators in terms of Lipschitz-continuous functions and Peetre’s K-functional by using the modulus of continuity of orders one and two.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-04-08
DOI
https://doi.org/10.1186/s13660-025-03293-8
Citations
4
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
10.52
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article

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Md. Nasiruzzaman
4 citations
Journal of Inequalities and Applications
Approximation Theory and Sequence Spaces
10.52
article

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Md. Nasiruzzaman
article en
4 citations

Abstract

In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter $\alpha \in [0,1]$ . We obtain the convergence of proposed operators in terms of Lipschitz-continuous functions and Peetre’s K-functional by using the modulus of continuity of orders one and two.

Journal of Inequalities and ApplicationsVol. 2025(1)
University of Tabuk (SA)
Openalex Percentile: Top 2%
Approximation Theory and Sequence Spaces
10.52
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