On estimating the rate of best trigonometric approximation by a modulus of smoothness

被引：0

作者：

Borislav R. Draganov

Parvan E. Parvanov

机构：

[1] University of Sofia,Department of Mathematics and Informatics

[2] Bulgarian Academy of Science,Institute of Mathematics and Informatics

来源：

Acta Mathematica Hungarica | 2011年 / 131卷

关键词：

best trigonometric approximation; modulus of smoothness; -functional; trigonometric B-spline; 42A10; 41A10; 41A25; 41A27; 41A50; 42A38; 42A85;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Best trigonometric approximation in Lp, 1≦p≦∞, is characterized by a modulus of smoothness, which is equivalent to zero if the function is a trigonometric polynomial of a given degree. The characterization is similar to the one given by the classical modulus of smoothness. The modulus possesses properties similar to those of the classical one.

引用

页码：360 / 379

页数：19

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