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| Projection Body and Isoperimetric Inequalities for s-Concave Functions* |
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Citation： |
Niufa FANG.Projection Body and Isoperimetric Inequalities for s-Concave Functions*[J].Chinese Annals of Mathematics B,2023,44(3):465~480 |
| Page view： 653
Net amount： 546 |
Authors： |
Niufa FANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 12001291,12071318) and Chern Institute of Mathematics, Nankai University. |
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| Abstract： |
For a positive integer s, the projection body of an s-concave function f : Rn →[0, +∞), a convex body in the (n + s)-dimensional Euclidean space Rn+s, is introduced.Associated inequalities for s-concave functions, such as, the functional isoperimetric inequality, the functional Petty projection inequality and the functional Loomis-Whitney inequality are obtained. |
Keywords： |
Isoperimetric inequality, s-Concave functions, Projection body, The Petty projection inequality |
Classification： |
52A20, 26D10 |
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