An estimate on the convergence of MKZ–Bézier operators

Zeng, Xiaoming; Lian, Bo-Yong

doi:10.1016/j.camwa.2008.07.008

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2011

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“…[3], [4], [6]- [9], [11]- [13]). In this paper we give a sharp estimate for the first order absolute moment of the operators M n .…”

Section: Introductionmentioning

confidence: 99%

First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions

Zeng

Cheng

2011

Mathematica Slovaca

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ABSTRACT. A sharp estimate is given for the first order absolute moment of Meyer-König and Zeller operators M n . This estimate is then used to prove convergence of approximation of a class of absolutely continuous functions by the operators M n . The condition considered here is weaker than the condition considered in a previous paper and the rate of convergence we obtain is asymptotically the best possible.

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“…[3], [4], [6]- [9], [11]- [13]). In this paper we give a sharp estimate for the first order absolute moment of the operators M n .…”

Section: Introductionmentioning

confidence: 99%