General mixed width-integral of convex bodies
نویسنده
چکیده
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.
منابع مشابه
General Lp-mixed width-integral of convex bodies and related inequalities
The conception of general Lp-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 Lpmixed width-integral are obtained. c ©2017 All rights reserved.
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