On optimal quadrature formulae

被引：27
|
作者：
Lanzara, F [1 ]
机构：
[1] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 03期
关键词：
quadrature formulae; error estimates; influence function;
D O I：
10.1155/S1025583400000114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed. We give necessary and sufficient conditions under which such formulae do exist. Several formulae obtained by applying this method are considered and compared with well known formulae.
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页码：201 / 225
页数：25
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