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Rate of convergence for Meyer-König and Zeller operators with Jacobi-Weights

✍ Scribed by Song Ruying; Xuan Peicai; You Gongqiang; Wang Jianli

Publisher
Springer
Year
2002
Tongue
English
Weight
402 KB
Volume
18
Category
Article
ISSN
1573-8175

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✍ Ulrich Abel 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We present the complete asymptotic expansion for the Meyer-Konig and Zeller Ž Ž . . yk Ž . operators M f t ; x as n tends to infinity. All coefficients of n ks1, 2, . . . n are calculated explicitly in terms of Stirling numbers of the first and second kind.

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In this work, we introduce a modification of the q-Meyer-König and Zeller operators, and investigate the Korovkin type statistical approximation properties of this modification via A-statistical convergence. Also we prove that this modification provides a better estimation than the q-MKZ operators o