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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 3

Approximation by generalized Stancu-Kantorovich operators

Selver Yeter(ANKARA HACI BAYRAM VELİ ÜNİVERSİTESİ)0009-0005-5479-7056
Nursel Çetin(ANKARA HACI BAYRAM VELİ ÜNİVERSİTESİ)0000-0003-3771-6523
Pages
—
Publication Date
2025-09-23
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AI Summary & Key Takeaways

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

Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters.
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Key Findings & Data:Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates for the rate of convergence by using moduli of smoothness of the first and the second order.
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Conclusion & Impact:Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kantorovich operators · Schurer operators · Stancu operators

Abstract

In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters. Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates for the rate of convergence by using moduli of smoothness of the first and the second order. Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.

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Cite This Article

Yeter, S., Çetin, N. (2025). Approximation by generalized Stancu-Kantorovich operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 3. https://doi.org/10.31801/cfsuasmas.1519351

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