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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

Approximation by $\alpha$-Bernstein-Schurer operator

Nursel Çetin(ANKARA HACI BAYRAM VELI UNIVERSITY)0000-0003-3771-6523
Pages
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Publication Date
2021-06-07
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AI Summary & Key Takeaways

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

Also, we present Voronovskaya and Grüss-Voronovskaya type results for these operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators.
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Key Findings & Data:We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness.
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Conclusion & Impact:Also, we present Voronovskaya and Grüss-Voronovskaya type results for these operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bernstein-Schurer operators · α-Bernstein operator · Modulus of continuity

Abstract

In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators. We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness. Also, we present Voronovskaya and Grüss-Voronovskaya type results for these operators.

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Cite This Article

Çetin, N. (2021). Approximation by $\alpha$-Bernstein-Schurer operator. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.626905

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