Inequalities for dual quermassintegrals of mixed intersection bodies
نویسندگان
چکیده
منابع مشابه
Inequalities for dual quermassintegrals of mixed intersection bodies
In this paper, we first introduce a new concept of dual quermassintegral sum function of two star bodies and establish Minkowski's type inequality for dual quermassintegral sum of mixed intersection bodies, which is a general form of the Minkowski inequality for mixed intersection bodies. Then, we give the Aleksandrov– Fenchel inequality and the Brunn–Minkowski inequality for mixed intersection...
متن کاملOn Inequalities for Quermassintegrals and Dual Quermassintegrals of Difference Bodies
In this paper, inequalities for quermassintegrals and dual quermassintegrals of difference bodies are given. In particular, an extension of the Rogers-Shephard inequality is obtained. Mathematics subject classification (2010): 52A40, 52A20.
متن کاملInequalities for dual quermassintegrals of the radial pth mean bodies
Gardner and Zhang defined the notion of radial pth mean body (p > –1) in the Euclidean space Rn. In this paper, we obtain inequalities for dual quermassintegrals of the radial pth mean bodies. Further, we establish dual quermassintegrals forms of the Zhang projection inequality and the Rogers-Shephard inequality, respectively. Finally, Shephard’s problem concerning the radial pth mean bodies is...
متن کاملInequalities for Dual Affine Quermassintegrals
The setting for this paper is n-dimensional Euclidean space Rn. Let n denote the set of convex bodies (compact, convex subsets with nonempty interiors) and n o denote the subset of n that consists of convex bodies with the origin in their interiors. Denote by voli(K | ξ) the i-dimensional volume of the orthogonal projection of K onto an idimensional subspace ξ ⊂Rn. Affine quermassintegrals are ...
متن کاملVolume difference inequalities for the projection and intersection bodies
In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.
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: Proceedings Mathematical Sciences
سال: 2005
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02829841