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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we investigate approximation properties of the Stancu type generalization of the $\alpha$-Bernstein operator.
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Temel Bulgular & Veri:We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity.
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Sonuç & Katkı:Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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