General \(L_p\)-mixed width-integral of convex bodies and related inequalities

Volume 10, Issue 8, pp 4372--4380 http://dx.doi.org/10.22436/jnsa.010.08.30

Publication Date: August 24, 2017 Submission Date: June 02, 2017

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Authors

Yanping Zhou - Department of Mathematics, Shanghai University, Shanghai 200444, China.

Abstract

The conception of general \(L_p\)-mixed width-integral of convex bodies is introduced and related isoperimetric type inequality, Aleksandrov-Fenchel type inequality and a cyclic inequality are established. Further, the extremum values for the general \(L_p\)-mixed width-integral are obtained.

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Keywords

• general mixed width-integral
• mixed width-integral
• General \(L_p\)-mixed width-integral
• convex body.

MSC

•  52A20
•  52A40

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