序列上的多项式插值

F. Tugores, L. Tugores
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引用次数: 0

摘要

这个简短的笔记处理复数的多项式插值验证李普希茨条件,在平面上给定序列的连续点上执行。我们感兴趣的是那些在第一个未插值点处提供误差界的序列,只依赖于它到最后一个插值点的距离。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Polynomial Interpolation on Sequences
This short note deals with polynomial interpolation of complex numbers verifying a Lipschitz condition, performed on consecutive points of a given sequence in the plane. We are interested in those sequences which provide a bound of the error at the first uninterpolated point, depending only on its distance to the last interpolated one.
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