On a Brunn-Minkowski Theorem for a Geometric Domain Functional Considered by Avhadiev

Grant Keady

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On a Brunn-Minkowski Theorem for a Geometric Domain Functional Considered by Avhadiev

机译：关于Avhadiev考虑的几何域泛函的Brunn-Minkowski定理

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摘要

Suppose two bounded subsets of are given. Parametrise the Minkowski combination of these sets by . The Classical Brunn-Minkowski Theorem asserts that the -th power of the volume of the convex combination is a concave function of . A Brunn-Minkowski-style theorem is established for another geometric domain functional.

机译：假设给出的两个有界子集。将这些集合的Minkowski组合参数化。古典Brunn-Minkowski定理断言，凸组合的体积的三次方是的凹函数。建立了Brunn-Minkowski风格的定理，用于另一个几何域函数。

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《Journal of inequalities in pure and applied mathematics》 |2007年第2期|共4页
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Grant Keady;
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中图分类数学;
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On a Brunn-Minkowski Theorem for a Geometric Domain Functional Considered by Avhadiev

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