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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Approximation by generalized Bernstein–Stancu operators

Nursel ÇETİN
Voichita Adriana RADU
Sayfa
2032–2048
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the studycontains numerical considerations regarding the constructed operators based on Maple algorithms.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we investigate approximation properties of the Stancu type generalization of the -Bernsteinoperator.
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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.Also, we present Voronovskaya and Grüss–Voronovskaya type asymptotic results for these operators.
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Sonuç & Katkı:Finally, the studycontains numerical considerations regarding the constructed operators based on Maple algorithms.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we investigate approximation properties of the Stancu type generalization of the -Bernsteinoperator. 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 studycontains numerical considerations regarding the constructed operators based on Maple algorithms.

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Bu Makaleye Atıf Yap

ÇETİN, N., RADU, V. A. (2022). Approximation by generalized Bernstein–Stancu operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 2032–2048. https://ajindex.com/articles/607615

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Kaynakça (16)

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