A new proof of the Orlicz Busemann-Petty centroid inequality

By Ai-jun Li, Gangsong Leng. 2011

63 citations recorded by the source corpus.

Using shadow systems, we provide a new proof of the Orlicz Busemann-Petty centroid inequality, which was first obtained by Lutwak, Yang and Zhang.

Subfields: Applied Mathematics, Pharmacology

View Paper: https://www.semanticscholar.org/paper/8d39b5f6ab1e894df006898a3e3e4d683d99b414

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Deping Ye
2. Richard J. Gardner
3. Wolfgang H. Weil
4. Daniel Hug
5. Sudan Xing
6. Baocheng Zhu
7. Yiming Zhao
8. Steffen Winter

In Pharmacology

1. Deping Ye
2. Richard J. Gardner
3. Wolfgang H. Weil
4. Daniel Hug

Citations in the corpus

• The dual Orlicz–Brunn–Minkowski theory ☆ (2014, background): “) The new theory has already attracted considerable interest; see, for example, [2, 3, 4, 5, 21, 22, 25, 26, 39, 40, 41, 46].”
• Dual Orlicz-Brunn-Minkowski theory (2014, unknown): “This theory is far more general than the Lp Brunn–Minkowski theory, we refer the reader to [6,16,24,26,29,32,40,43,44,46,53, 57].”
• New Orlicz affine isoperimetric inequalities (2014, background): “Important contributions include the study of Logarithmic Minkowski and even Orlicz Minkowski problems [7, 15]; the logBrunn-Minkowski-inequality [5]; stronger versions of the Orlicz-Petty projection inequality [6]; Orlicz Busemann-Petty centroid inequality [10, 20, 53] among others.”