Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices (Q1026268)
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scientific article; zbMATH DE number 5569546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices |
scientific article; zbMATH DE number 5569546 |
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Extension of the Lasserre-Avrachenkov theorem on the integral of multilinear forms over simplices (English)
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24 June 2009
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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.
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multilinear form
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integral
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simplex
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nonhomogeneous polynomial
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