Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
Yazarlar (1)
Doç. Dr. Gülten TORUN Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Mathematics (Q1)
Dergi ISSN 2314-4629 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2024
Cilt / Sayı / Sayfa 2024 / 1 / 14–14 DOI 10.1155/2024/9083766
Makale Linki https://doi.org/10.1155/2024/9083766
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
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.
Anahtar Kelimeler
(p,q)-integers | (p,q)–Bleimann–Butzer–Hahn operators | (p,q)–Stancu–Schurer–Bleimann–Butzer–Hahn operators | Korovkin-type theorem | modulus of continuity | rate of approximation | Voronovskaja-type theorem
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
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Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

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