Volume of slices and sections of the simplex in closed form

DOI10.1007/s11590-015-0898-zzbMath1400.52006arXiv1412.4617OpenAlexW2268918713MaRDI QIDQ499681

Jean-Bernard Lasserre

Publication date: 6 October 2015

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4617

zbMATH Keywords

volumesectionsB-splinessimplexslices

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (1)

A volume based approach to establish B-spline based expressions for density functions and its application to progressive hybrid censoring

Cites Work

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• Multivariate splines and polytopes
• Computing the volume, counting integral points, and exponential sums
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• On Polya frequency functions. IV: The fundamental spline functions and their limits
• How to integrate a polynomial over a simplex
• Solving a class of multivariate integration problems via Laplace techniques
• What is the Laplace Transform?
• Complex analysis. Transl. from the German by Dan Fulea

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