Quadrature rules and distribution of points on manifolds

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2010-12-24 DOI:10.2422/2036-2145.201103_007

L. Brandolini, C. Choirat, L. Colzani, G. Gigante, Raffaello Seri, G. Travaglini

引用次数: 55

Abstract

We study the error in quadrature rules on a compact manifold. Our estimates are in the same spirit of the Koksma-Hlawka inequality and they depend on a sort of discrepancy of the sampling points and a generalized variation of the function. In particular, we give sharp quantitative estimates for quadrature rules of functions in Sobolev classes.

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流形上点的正交规则和分布

研究紧流形上正交规则的误差。我们的估计与Koksma-Hlawka不等式的精神相同，它们依赖于抽样点的某种差异和函数的广义变化。特别地，我们给出了Sobolev类中函数的正交规则的清晰定量估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24