Alternatives to the Euler-Maclaurin formula for calculating infinite sums

被引:0
|
作者
Yu. V. Matiyasevich
机构
[1] Russian Academy of Sciences,St. Petersburg Branch of Steklov Mathematical Institute
来源
Mathematical Notes | 2010年 / 88卷
关键词
Euler-Maclaurin formula; Bernoulli number; quadrature formula; Stieltjes constant; Riemann zeta function; Simpson’s formula;
D O I
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学科分类号
摘要
We propose a new class of formulas, which, just as the Euler-Maclaurin formula, can be used to calculate the approximate value of an infinite sum by approximating the corresponding integral.
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页码:524 / 529
页数:5
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