On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-10-15
DOI
https://doi.org/10.1186/s13660-025-03377-5
Citations
1
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
2.63
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article

On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

Qing‐Bo Cai, İsmet Yüksel, Reşat Aslan, Jun-Jie Quan et al.
1 citations
Journal of Inequalities and Applications
Approximation Theory and Sequence Spaces
2.63
article

On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

Qing‐Bo Cai, İsmet Yüksel, Reşat Aslan, Jun-Jie Quan, Nadire Fulda Odabaşı
article en
1 citations

Abstract

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.

Journal of Inequalities and ApplicationsVol. 2025(1)
Van Yüzüncü Yıl Üniversitesi (TR), Jimei University (CN), Quanzhou Normal University (CN), Gazi University (TR)
Openalex Percentile: Top 8%
Approximation Theory and Sequence Spaces
2.63
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