具有Jacobi权值的Cauchy积分的三角求积规则

J. Approx. Theory Pub Date : 1900-01-01 DOI:10.1006/jath.2000.3513

Philsu Kim

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引用次数: 4

摘要

本文考虑了I(wf;s)=[公式]w(t)f(t)/(t-s)dt， -1-1/2的柯西积分的求积分规则。利用变量变换t=cosy, s=cosx，并减去奇异点，我们提出了一个三角积分规则。我们得到了与极点值集无关的误差界，并构造了一个非自适应型的自动正交。

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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A Trigonometric Quadrature Rule for Cauchy Integrals with Jacobi Weight

In this paper, we consider a quadrature rule for Cauchy integrals of the form I(wf;s)=[formula]w(t)f(t)/(t-s)dt, -1-1/2. Using the change of variables t=cosy, s=cosx and subtracting out the singularity, we propose a trigonometric quadrature rule. We obtain the error bounds independent of the set of values of poles and construct an automatic quadrature of nonadaptive type.

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J. Approx. Theory

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