ORIGINAL PAPER
The role of the form body in bounds for inclusion measures
Baocheng Zhu,
Shuang Mou,
Niufa Fang,
Corresponding Author
Baocheng Zhu
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei, 445000 P. R. China
Correspondence Baocheng Zhu, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000 P. R. China. Email: [email protected]Search for more papers by this authorShuang Mou
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei, 445000 P. R. China
Search for more papers by this authorNiufa Fang
School of Mathematics and Statistics, Southwest University, Chongqing, 400715 P. R. China
Search for more papers by this authorBaocheng Zhu,
Shuang Mou,
Niufa Fang,
Corresponding Author
Baocheng Zhu
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei, 445000 P. R. China
Correspondence Baocheng Zhu, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000 P. R. China. Email: [email protected]Search for more papers by this authorShuang Mou
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei, 445000 P. R. China
Search for more papers by this authorNiufa Fang
School of Mathematics and Statistics, Southwest University, Chongqing, 400715 P. R. China
Search for more papers by this authorFirst published: 28 March 2017
Abstract
In this paper, the inclusion measures of convex bodies are studied. Some new isoperimetric-type inequalities are established by using the technique of inner parallel bodies and mixed volumes. These inequalities give the upper and lower bounds for the inclusion measures, and show the role of the form body of a convex body in these bounds.
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