General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem

Tian Li, Weidong Wang and Yaping Mao
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Tian Li: College of Mathematics and Statistics, Qinghai Normal University, Xining 810000, China
Weidong Wang: Department of Mathematics, China Three Gorges University, Yichang 443002, China
Yaping Mao: College of Mathematics and Statistics, Qinghai Normal University, Xining 810000, China

Mathematics, 2019, vol. 7, issue 7, 1-10

Abstract: In this article, based on the Blaschke combination of convex bodies, we define the general Blaschke bodies and obtain the extremal values of their volume and affine surface area. Further, we study the asymmetric negative solutions of the Shephard problem for the projection bodies.

Keywords: general Blaschke body; extremal value; Shephard problem; asymmetric negative solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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