Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin

Citation
D. Dryanov et O. Kounchev, Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin, MATH NACHR, 226, 2001, pp. 65-83
Citations number
34
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
226
Year of publication
2001
Pages
65 - 83
Database
ISI
SICI code
0025-584X(2001)226:<65:MBFAPE>2.0.ZU;2-7
Abstract
In the present paper we provide a multivariate generalization of the Euler - Maclaurin formula which is based on an appropriate multivariate extension of the Bernoulli functions.