Monotonicity inequalities for Lp Blaschke-Minkowski homomorphisms

被引:12
作者
Li, Yanan [1 ]
Wang, Weidong [1 ]
机构
[1] China Three Gorges Univ, Dept Math, Yichang 443002, Peoples R China
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词
L-p Blaschke-Minkowski homomorphisms; Shephard problem; monotonicity inequality; INVARIANT VALUATIONS; CONVOLUTIONS; AFFINE;
D O I
10.1186/1029-242X-2014-131
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Schuster introduced the notion of Blaschke-Minkowski homomorphism and considered its Shephard problems. Wang gave the definition of L-p Blaschke-Minkowski homomorphisms and considered its Shephard problems for volume. In this paper, we obtain its Shephard type inequalities for the affine surface area and two monotonicity inequalities for L-p Blaschke-Minkowski homomorphisms are established.
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页数:10
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