Mathematical Inequalities & Applications · Volume 17, Issue 2

Lévy-Khintchine representation of the geometric mean of many positive numbers and applications

17-53 Pages 719-729 DOI 10.7153/mia-17-53

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Authors

Feng Qi Xiao-Jing Zhang Wen-Hui Li

Keywords

Lévy-Khintchine representation integral representation geometric mean completely monotonic function logarithmically completely monotonic function Bernstein function complete Bernstein function Cauchy integral formula arithmetic-geometric mean inequality

Subject classes

26E60 26A48 30E20 44A10 44A20