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Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators

✍ Scribed by Xiao-Ming Zeng

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
642 KB
Volume
39
Category
Article
ISSN
0898-1221

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✦ Synopsis

this paper, the approximation behaviours of two generalized Meyer-KBnig and Zeller type operators Mn,a! (f, z) and a,,,, (f, z) are studied. By means of the decomposition technique of functions of bounded variation and the method of Bojanic [l], Bojanic and Vuilleumier [2], and Cheng (31, together with some results from probability theory and the exact bound of Meyer-K&rig and Zeller operators basis functions, the rates of convergence of these two operators for functions of bounded variation are obtained.

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Statistical approximation by a modificat
Statistical approximation by a modification of -Meyer-König and Zeller operators
✍ Ogün Doğru; Mediha Örkcü 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 420 KB

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