Uniform Approximation by the Class of Functions with Bounded Derivative

被引：0

作者：

A. V. Mironenko

机构：

[1] Russian Academy of Sciences,Mathematics and Mechanics Institute, Ural Division

来源：

Mathematical Notes | 2003年 / 74卷

关键词：

approximation of functions; splines; alternance; Budan--Fourier theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the paper, the problem of uniform approximation of a continuous function defined on an interval is considered. The approximating functions have absolutely continuous derivatives of order (n − 1) and derivatives of order n bounded in absolute value. An alternance criterion for a best approximation element in this class is given. This criterion generalizes the criterion for the best approximation element obtained by N. P. Korneichuk in the class of Lipschitz functions.

引用

页码：656 / 670

页数：14

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