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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we investigate approximation properties of the Stancu type generalization of the $\alpha$-Bernstein operator.
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Key Findings & Data:We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity.
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Conclusion & Impact:Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Stancu operators · $\alpha$-Bernstein operators · moduli of continuity
Abstract
In this paper, we investigate approximation properties of the Stancu type generalization of the $\alpha$-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators. Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
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Cite This Article
ÇETİN, N., RADU, V. A. (2019). Approximation by generalized Bernstein-Stancu operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 2032–2048. https://ajindex.com/articles/212736