Submitted:
15 March 2017
Posted:
16 March 2017
You are already at the latest version
Abstract
In the paper, by virtue of a Lévy–Khintchine representation and an alternative integral representation for the weighted geometric mean, the authors establish a Lévy–Khintchine representation and an alternative integral representation for the Toader–Qi mean. Moreover, the authors also collect an probabilistic interpretation and applications in engineering of the Toader–Qi mean.
Keywords:
Lévy–Khintchine representation
; integral representation
; Bernstein function
; Stieltjes function
; Toader–Qi mean
; weighted geometric mean
; Bessel function of the first kind
; probabilistic interpretation
; application in engineering
; inequality
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