An Euler-MacLaurin formula for polygonal sums
نویسندگان
چکیده
منابع مشابه
Euler - Maclaurin Formula
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 are Bernoulli polynomials and numbers, respectively, and k is any positive integer. The condition we impose on the real function f is that it should have continuous k-th derivative. The symbol {x} for a real number x denotes the fractional part of x. Proof of this th...
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(with DF = 1 for F = P). As explained in [2], essential properties required on the operators DF are ”locality” and ”computability”. At each face F of P, the operator DF should depend only of the translation class modulo Z of the normal cone No(P, F ) to P at a generic point of F (if F is of codimension k, the normal cone is an affine cone of dimension k). In particular if P is an integral polyt...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/8462