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Journals / Turkish Journal of Science / 2026 / Cilt: 7 Sayı: 2

A new generalization of Szasz-Kantorovich operators on weighted space

Harun Çiçek(HARRAN UNIVERSITY)0000-0003-3018-3015
Shaymaa Jameel Zainalabdin(HARRAN UNIVERSITY)0000-0002-3861-3430
Aydın İzgi(HARRAN UNIVERSITY)0000-0003-3715-8621
Pages
85–106
Publication Date
2022-09-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the convergence is demonstrated more clearly by numerical examples and plots.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this article is to define a new generalization of Szász-Kantorovich operators.
📊
Key Findings & Data:First, by using the Korovkin theorem on the new operator we define, its convergence properties and rates are examined.
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Conclusion & Impact:Finally, the convergence is demonstrated more clearly by numerical examples and plots.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Linear positive operators · Szasz-­Kantorovich operators · ­Weighted space

Abstract

The purpose of this article is to define a new generalization of Szász-Kantorovich operators. First, by using the Korovkin theorem on the new operator we define, its convergence properties and rates are examined. Then, the Voronovskaja-type theorem for the new operator is proven. Additionally, with the help of the modulus of continuity in the weighted space, rate of convergence the new operator is examined, and a theorem is proven for the operator we define by using functions that satisfy the Lipschitz condition. Finally, the convergence is demonstrated more clearly by numerical examples and plots.

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Cite This Article

Çiçek, H., Zainalabdin, S. J., İzgi, A. (2022). A new generalization of Szasz-Kantorovich operators on weighted space. Turkish Journal of Science, Cilt: 7 Sayı: 2, 85–106. https://ajindex.com/articles/1557512

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