Aleksandrov-Fenchel inequalities for unitary valuations of degree $$2$$ 2 and $$3$$ 3
نویسندگان
چکیده
منابع مشابه
Lp-Minkowski and Aleksandrov-Fenchel type inequalities
In this paper we establish the Lp-Minkowski inequality and Lp-Aleksandrov-Fenchel type inequality for Lp-dual mixed volumes of star duality of mixed intersection bodies, respectively. As applications, we get some related results. The paper new contributions that illustrate this duality of projection and intersection bodies will be presented. M.S.C. 2000: 52A40.
متن کاملThe Aleksandrov-Fenchel type inequalities for volume differences
In this paper we establish the Aleksandrov-Fenchel type inequality for volume differences function of convex bodies and the Aleksandrov-Fenchel inequality for Quermassintegral differences of mixed projection bodies, respectively. As applications, we give positive solutions of two open problems. M.S.C. 2000: 52A40.
متن کاملOn Aleksandrov-Fenchel Inequalities for k-Convex Domains
These are the lecture notes based on a course which the first named author has given at the second congress organized by the Riemann International School of Mathematics in Verbania, Italy from September 26 to October 1, 2010. The topic of the school is Nonlinear Analysis and Nonlinear PDE, with Louis Nirenberg served as the Director of the school for the year. The first named author has greatly...
متن کاملTwo Combinatorial Applications of the Aleksandrov-Fenchel Inequalities
The Aleksandrov-Fenchel inequalities from the theory of mixed volumes are used to prove that certain sequences of combinatorial interest are log concave (and therefore unimodal). 1. MIXED VOLUMES We wish to show how the Aleksandrov-Fenchel inequalities from the theory of mixed volumes can be used to prove that certain sequences of combinatorial interest are log concave (and therefore unimodal)....
متن کاملRemarks on One Combinatorial Application of the Aleksandrov–fenchel Inequalities
In 1981, Stanley applied the Aleksandrov–Fenchel Inequalities to prove a logarithmic concavity theorem for regular matroids. Using ideas from electrical network theory we prove a generalization of this for the wider class of matroids with the “half–plane property”. Then we explore a nest of inequalities for weighted basis–generating polynomials that are related to these ideas. As a first result...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2015
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-015-0843-0