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INEQUALITIES FOR CHORD POWER INTEGRALS
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 Title & Authors
INEQUALITIES FOR CHORD POWER INTEGRALS
Xiong, Ge; Song, Xiaogang;
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 Abstract
For convex bodies, chord power integrals were introduced and studied in several papers (see [3], [6], [14], [15], etc.). The aim of this article is to study them further, that is, we establish the Brunn-Minkowski-type inequalities and get the upper bound for chord power integrals of convex bodies. Finally, we get the famous Zhang projection inequality as a corollary. Here, it is deserved to mention that we make use of a completely distinct method, that is using the theory of inclusion measure, to establish the inequality.
 Keywords
convex body;chord power integrals;inclusion measure;
 Language
English
 Cited by
1.
Random chord distributions and containment functions, Advances in Applied Mathematics, 2014, 58, 1  crossref(new windwow)
2.
CHORD POWER INTEGRALS OF SIMPLICES, Asian-European Journal of Mathematics, 2009, 02, 04, 557  crossref(new windwow)
3.
Some inequalities for chord power integrals of parallelotopes, Monatshefte für Mathematik, 2016, 181, 4, 821  crossref(new windwow)
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