The weighted Euler-Maclaurin formula for a simple integral polytope
نویسندگان
چکیده
منابع مشابه
Euler Maclaurin with Remainder for a Simple Integral Polytope
Because ∫ b+h2 a−h1 f(x)dx is a polynomial in h1 and h2 if f is a polynomial in x, applying the infinite order differential operator L( ∂ ∂hi ) then yields a finite sum, so the right hand side of (2) is well defined when f is a polynomial. A polytope in Rn is called integral, or a lattice polytope, if its vertices are in the lattice Zn; it is called simple if exactly n edges emanate from each v...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2005
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2005.v9.n2.a5