Gaussian rules on unbounded intervals

被引：17
作者：
Della Vecchia, B
Mastroianni, G
机构：
[1] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
JOURNAL OF COMPLEXITY | 2003年 / 19卷 / 03期
关键词：
Gauss quadrature formulas; exponential weight; Lagrange interpolation;
D O I：
10.1016/S0885-064X(03)00008-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A quadrature rule as simple as the classical Gauss formula, with a lower computational cost and having the same convergence order of best weighted polynomial approximation in L-1 is constructed to approximate integrals on unbounded intervals. An analogous problem is discussed in the case of Lagrange interpolation in weighted L-2 norm. The order of convergence in our results is the best in the literature for the considered classes of functions. (C) 2003 Elsevier Science (USA). All rights reserved.
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收藏
页码：247 / 258
页数：12
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