Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials

被引：10

作者：

Djukic, Dusan Lj. ^{[1
]}

Reichel, Lothar ^{[2
]}

Spalevic, Miodrag M. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Dept Math, Kraljice Marije 16, Belgrade 11120 35, Serbia

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2019年 / 142卷

关键词：

Gauss quadrature; Averaged Gauss quadrature; Truncated generalized averaged Gauss quadrature; Internality of quadrature; Measures induced by Chebyshev polynomials; KRONROD QUADRATURE; FORMULAS; APPROXIMATION;

D O I：

10.1016/j.apnum.2019.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval {t : a < t < b} may have nodes outside this interval, in other words the rules may fail to be internal. Such rules cannot be applied when the integrand is defined on {t : a < t < b} only. This paper investigates whether generalized averaged Gaussian quadrature rules and truncated variants are internal for measures induced by Chebyshev polynomials. Our results complement those of Notaris [13] for Gauss-Kronrod quadrature formulas for the same kind of measures. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：190 / 205

页数：16

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