Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices
type: Item
instance of: scholarly article
title: Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices
zbMATH Open document ID: 1185.65044
author: Mohammadali Khosravifard
author: Morteza Esmaeili
author: Hossein Saidi
published in: Applied Mathematics and Computation
publication date: 2009-06-24T00:00:00Z
review text: The Lasserre-Avrachenkov (LA) formula computes the integral over simplex \(\text{conv}(v_0,\dots, v_n)\subset\mathbb{R}^n\) of a multilinear form \(M:(\mathbb{R}^n)^q\to \mathbb{R}\) restricted to the diagonal. The authors show that the LA argument can be extended to prove the like for some nonhomogeneous polynomials.
reviewed by: Yuri A. Brudnyi
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 5569546
zbMATH Keywords: multilinear form
zbMATH Keywords: integral
zbMATH Keywords: simplex
zbMATH Keywords: nonhomogeneous polynomial
MaRDI profile type: Publication
full work available at URL: j.amc.2009.02.005
OpenAlex ID: W2042238916
cites work: An encyclopaedia of cubature formulas.
cites work: An adaptive numerical cubature algorithm for simplices
cites work: Invariant Integration Formulas for the n-Simplex by Combinatorial Methods
cites work: The Multi-Dimensional Version of � b a x p dx
cites work: Q4348659
cites work: Q4158394
cites work: Symmetric Quadrature Formulae for Simplexes
cites work: A polarization identity for multilinear maps
DOI: 10.1016/J.AMC.2009.02.005
description: scientific article; zbMATH DE number 5569546