Elsevier

Applied Mathematics Letters

Volume 25, Issue 2, February 2012, Pages 190-194
Applied Mathematics Letters

On Dresher’s inequalities for width-integrals

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Abstract

In the paper, we establish a reversed Dresher’s integral inequality, based on the Minkowski inequality and an inequality due to Radon. Further, we prove Dresher-type inequalities for width-integrals of convex bodies and mixed projection bodies, respectively.

Keywords

Dresher’s inequality
Brunn–Minkowski inequality
Convex body
Mixed projection body

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Research is supported by National Natural Science Foundation of China (10971205).