Keady, Grant On a Brunn-Minkowski theorem for a geometric domain functional considered by Avhadiev. (English) Zbl 1232.26034 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 2, Paper No. 33, 4 p. (2007). Summary: Suppose two bounded subsets of \(\mathbb{R}^n\) are given. Parametrise the Minkowski combination of these sets by \( t\). The Classical Brunn-Minkowski Theorem asserts that the \( 1/n\)-th power of the volume of the convex combination is a concave function of \( t\). A Brunn-Minkowski-style theorem is established for another geometric domain functional. Cited in 3 Documents MSC: 26D15 Inequalities for sums, series and integrals 52A40 Inequalities and extremum problems involving convexity in convex geometry Keywords:Brunn-Minkowski; Prekopa-Leindler PDFBibTeX XMLCite \textit{G. Keady}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 2, Paper No. 33, 4 p. (2007; Zbl 1232.26034) Full Text: EuDML EMIS