CHEBYSHEV APPROXIMATION BY THE SUM OF THE POLYNOMIAL AND LOGARITHMIC EXPRESSION WITH HERMITE INTERPOLATION

被引：5

作者：

Malachivskyy, P. S. ^{[1
]}

Pizyur, Ya. V. ^{[2
]}

Andrunyk, V. A. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Ctr Math Modeling, Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine

[2] Lviv Polytech Natl Univ, Lvov, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2018年 / 54卷 / 05期

关键词：

Chebyshev approximation; Hermite interpolation; Remez algorithm; alternation points;

D O I：

10.1007/s10559-018-0078-0

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The authors establish the condition for the existence of the Chebyshev approximation by the sum of the polynomial and logarithmic expression with the least absolute error and Hermite interpolation at the end points of the interval. The method is proposed for determining the parameters of such Chebyshev approximation.

引用

页码：765 / 770

页数：6

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