Rational interpolation and approximate solution of integral equations

被引：1

作者：

Rusak, V. N. ^{[1
]}

Grib, N. V.

机构：

[1] Belarusian State Univ, Minsk, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 02期

关键词：

Integral Equation; Rational Function; Approximate Solution; Quadrature Formula; Trigonometric Polynomial;

D O I：

10.1134/S0012266112020115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the space of continuous periodic functions, we construct interpolation rational operators, use them to obtain quadrature formulas with positive coefficients which are exact on rational trigonometric functions of order 2n, and suggest an algorithm for an approximate solution of integral equations of the second kind. We estimate the accuracy of the approximate solution via the best trigonometric rational approximations to the kernel and the right-hand side of the integral equation.

引用

页码：275 / 282

页数：8