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

Autor: Gülten Torun
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mathematics, Vol 2024 (2024)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2024/9083766
Popis: 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.
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