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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 13 Issue: 1

A New Generalization of Bernstein Polynomials

Harun Çiçek(HARRAN UNIVERSITY)0000-0003-3018-3015
Aydın İzgi(HARRAN UNIVERSITY)0000-0003-3715-8621
Pages
—
Publication Date
2021-06-30
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AI Summary & Key Takeaways

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

Then, by using graphs and numerical values, we will demonstrate that the new general operator yields better results than the above classical operators which can be seen as the basis of the approximation theory.

📌 3 Key Takeaways

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Objective & Hypothesis:We will hereby introduce a new generalization of the Schurer, Stancu, Deo, and Izgi operators which are the modifications of the Bernstein polynomials and calculate the rate of approximation for the new operator with the help of the continuity module.
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Key Findings & Data:We will hereby introduce a new generalization of the Schurer, Stancu, Deo, and Izgi operators which are the modifications of the Bernstein polynomials and calculate the rate of approximation for the new operator with the help of the continuity module.
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Conclusion & Impact:Then, by using graphs and numerical values, we will demonstrate that the new general operator yields better results than the above classical operators which can be seen as the basis of the approximation theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Approximation properties · modulus of continuity · Bernstein operators

Abstract

We will hereby introduce a new generalization of the Schurer, Stancu, Deo, and Izgi operators which are the modifications of the Bernstein polynomials and calculate the rate of approximation for the new operator with the help of the continuity module. Then, by using graphs and numerical values, we will demonstrate that the new general operator yields better results than the above classical operators which can be seen as the basis of the approximation theory.

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Cite This Article

Çiçek, H., İzgi, A. (2021). A New Generalization of Bernstein Polynomials. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 1. https://doi.org/10.47000/tjmcs.853544

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