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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 75 Issue: 1

On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators

Aydın İzgi(HARRAN UNIVERSITY)0000-0003-3715-8621
Döne Karahan Dinsever(HARRAN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0001-6644-5596
Pages
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Publication Date
2026-03-29
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AI Summary & Key Takeaways

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

Graphs of the approximation are obtained using the Maple program.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new generalization of Bernstein operators is defined.
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Key Findings & Data:The Korovkin type approximation and the statistical approximation of this new operator are studied.
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Conclusion & Impact:Graphs of the approximation are obtained using the Maple program.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Approximation theory · linear positive operators · statistical approximation

Abstract

In this paper, a new generalization of Bernstein operators is defined. The Korovkin type approximation and the statistical approximation of this new operator are studied. Voronovskaja type and quantitative Voronovskaja type approximation theorems are proved. Graphs of the approximation are obtained using the Maple program.

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Cite This Article

İzgi, A., Dinsever, D. K. (2026). On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 75 Issue: 1. https://doi.org/10.31801/cfsuasmas.1468206

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