On Landau-Type Approximation Operators

被引：0
作者：
Octavian Agratini
Sorin G. Gal
机构：
[1] Babeş-Bolyai University,Faculty of Mathematics and Computer Science
[2] Tiberiu Popoviciu Institute of Numerical Analysis,Department of Mathematics and Computer Science
[3] University of Oradea,undefined
[4] Academy of Romanian Scientists,undefined
来源：
Mediterranean Journal of Mathematics | 2021年 / 18卷
关键词：
Landau operator; modulus of continuity; weighted space; approximation process; upper estimates; quantitative Voronovskaya-type theorems; 41A36; 41A25; 41A17;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered by integral type operators. Approximation properties in different function spaces are obtained, including quantitative Voronovskaya-type results.
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