期刊论文详细信息
Canadian mathematical bulletin | |
MKZ Type Operators Providing a Better Estimation on $[1/2,1)$ | |
关键词: Meyer-König and Zeller operators; Korovkin type approximation theorem; modulus of continuity; Lipschitz class functionals; | |
DOI : 10.4153/CMB-2007-042-8 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
In the present paper, we introduce a modification of the Meyer-K"{o}nig andZeller (MKZ) operators which preserve the test functions $f_{0}(x)=1$ and$f_{2}(x)=x^{2}$, and we show that this modification provides a better estimationthan the classical MKZ operators on the interval $[frac{1}{2},1)$ withrespect to the modulus of continuity and the Lipschitz class functionals.Furthermore, we present the $r-$th order generalization of our operators andstudy their approximation properties.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050576536ZK.pdf | 36KB | download |