Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Gülten Torun and Ljubisa Kocinac

Journal of Mathematics, 2024, vol. 2024, 1-14

Abstract: In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz-type maximal functions is calculated, respectively. Finally, for the asymptotic behavior of these operators, the Voronovskaja-type theorem is given. Furthermore, the convergence of these operators to the considered function f by plotting the graphs is demonstrated. And, this convergence is compared with the convergence of the p,q–Bleimann–Butzer–Hahn (p,q-BBH) operators to the same function.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9083766

DOI: 10.1155/2024/9083766

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