Euler–Maclaurin formula

Known as: Euler - Maclaurin formula, Euler summation formula, Euler-MacLaurin formula 
In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate… (More)
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2013
2013
Abstract. We compare, in the multidimensional case, the Fourier integral of a function λ of bounded variation and the… (More)
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2012
2012
— We study multiple Bernoulli series associated to a sequence of vectors generating a lattice in a vector space. The associated… (More)
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2011
2011
A local lattice point counting formula, and more generally a local Euler-Maclaurin formula follow by comparing two natural… (More)
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2009
2009
Formulas for the Riemann sums over lattice polytopes determined by the lattice points in the polytopes are often called Euler… (More)
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2007
2007
a Bk({1− t}) k! f (t)dt where a and b are arbitrary real numbers with difference b − a being a positive integer number, Bn and bn… (More)
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2007
2007
— The Euler-MacLaurin summation formula compares the sum of a function over the lattice points of an interval with its… (More)
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2005
2005
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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2005
2005
Mathematicians have long been intrigued by the sum 1m + 2m + · · · + nm of the first n integers, where m is a nonnegative integer… (More)
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2004
2004
The Euler-Maclaurin formula computes the sum of the values of a function f over the integer points in an interval in terms of the… (More)
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1971
1971
The usual Euler-Maclaurin expansion [1], [21 contains odd-order derivatives. The one which is proposed here contains only even… (More)
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