General mixed width-integral of convex bodies

Volume 9, Issue 6, pp 4226--4234 http://dx.doi.org/10.22436/jnsa.009.06.64

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Authors

Yibin Feng - School of Mathematics and Statistics, Hexi University, Zhangye, 734000, China.

Abstract

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.

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Keywords

• General mixed width-integral
• mixed width-integral
• general width-integral of order i.

MSC

•  52A20
•  52A40

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