求求正交公式误差较低估计的一种方法

V. Temlyakov
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引用次数: 51

摘要

本文的目的是获得具有有界混合导数的函数类具有固定节点数的正交公式误差的最佳估计。这里得到的结果加强了已知的对网格偏差的较低估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE FORMULAS
The purpose of this article is to obtain best possible lower estimates of the errors of quadrature formulas with a fixed number of nodes for classes of functions with bounded mixed derivative. The results obtained here lead to a strengthening of known lower estimates for the deviation of grids.
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