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Statistical approximation by a modification of -Meyer-König and Zeller operators

✍ Scribed by Ogün Doğru; Mediha Örkcü

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
420 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 on the interval [α n , 1) ⊂ [ 1 2 , 1) by means of the modulus of continuity.

📜 SIMILAR VOLUMES

The Complete Asymptotic Expansion for th
The Complete Asymptotic Expansion for the Meyer-König and Zeller Operators
✍ 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.