$\alpha$-concave functions and a functional extension of mixed volumes
نویسندگان
چکیده
منابع مشابه
Α-concave Functions and a Functional Extension of Mixed Volumes
Mixed volumes, which are the polarization of volume with respect to the Minkowski addition, are fundamental objects in convexity. In this note we announce the construction of mixed integrals, which are functional analogs of mixed volumes. We build a natural addition operation ⊕ on the class of quasi-concave functions, such that every class of α-concave functions is closed under ⊕. We then defin...
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ژورنال
عنوان ژورنال: Electronic Research Announcements in Mathematical Sciences
سال: 2013
ISSN: 1935-9179
DOI: 10.3934/era.2013.20.1