Brunn-Minkowski inequality, Minkowski’s first inequality, Prekopa-Leindler inequality, Young’s inequality, Brascamp-Lieb inequality, Barthe’s inequality, isoperimetric inequality, Sobolev inequality, entropy power inequality, covariogram, Anderson’s theorem, concave measure, convex body, mixed volume
In 1978, Osserman  wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of Rn, and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.
Bulletin of the American Mathematical Society
Required Publisher's Statement
First published in The Bulletin of the American Mathematical Society in Volume 39, Number 3, published by the American Mathematical Society.
Gardner, Richard J., "The Brunn-Minkowski Inequality" (2002). Mathematics Faculty Publications. 21.
Subjects - Topical (LCSH)
Convex domains; Concave functions; Convex bodies
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