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◆ Journal of Inequalities and Applications2025-10-15· Mathematics

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

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

原始摘要(英文原文)· Original 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.
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