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arXiv 0908.3533math-phmath.MP
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Simpson积分公式的多维证明

A Multidimensional Analogue of the Simpson's Formula of Integral

Kazuyuki Fujii

摘要:

辛普森公式是通过用由函数确定的二次多项式的积分来近似函数在某个区间上的积分而得到的。然而,据我们所知,还没有给出该公式的多维类似物。本文给出了这样一个公式。我们的公式简洁美观,在数学或数学物理中可能很方便。

英文摘要:

The Simpson's formula is obtained by approximating the integral of a function on some interval by the integral of the quadratic polynomial determined by the function. However, a multidimensional analogue of the formula has not been given as far as we know. In this paper such a formula is given. Our formula is simple and beautiful, so it may be convenient in Mathematics or Mathematical Physics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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