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

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 an...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2024-11, Vol.2024 (1)
1. Verfasser: Torun, Gülten
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/9083766