Sharp Estimates of Asymptotic Error of Approximation by General Positive Linear Operators in Terms of the First and the Second Moduli of Continuity

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作者
Radu Păltănea
Mihaela Smuc
机构
[1] Transilvania University of Braşov,Faculty of Mathematics and Informatics
来源
Results in Mathematics | 2019年 / 74卷
关键词
Asymptotic expansion; linear positive operators; order of approximation; moduli of continuity; best constants; 41A36; 41A25; 41A44; 41A10;
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摘要
There are obtained sharp quantitative results for asymptotic approximation by positive linear operators using the moments. The optimality of the constants that appear in these estimates is proven. The applications are given for the Bernstein operators.
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