Open AccessGeneral mixed width-integral of convex bodies
Author(s) -
Yibin Feng
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.06.64
Subject(s) - mathematics , regular polygon , mixed volume , convex body , combinatorics , pure mathematics , geometry , convex hull
In this article, we introduce a new concept of general mixed width-integral of convex bodies, and establish some of its inequalities, such as isoperimetric inequality, Aleksandrov-Fenchel inequality, and cyclic inequality. We also consider the general width-integral of order i and show its related properties and inequalities. c ©2016 All rights reserved.
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