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Lévy–Khintchine Representation of Toader–Qi Mean
Version 1
: Received: 15 March 2017 / Approved: 16 March 2017 / Online: 16 March 2017 (11:31:31 CET)
A peer-reviewed article of this Preprint also exists.
Qi, F.; Guo, B. Lévy-Khintchine Representation of Toader-Qi Mean. Mathematical Inequalities & Applications 2018, 21, 421-431. Qi, F.; Guo, B. Lévy-Khintchine Representation of Toader-Qi Mean. Mathematical Inequalities & Applications 2018, 21, 421-431.
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; probabilistic interpretation; application in engineering; inequality
Subject
MATHEMATICS & COMPUTER SCIENCE, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
Feng Qi and Bai-Ni Guo, LévyKhintchine representation of ToaderQi mean, Mathematical Inequalities & Applications 21 (2018), in press.
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
Feng Qi and Bai-Ni Guo, LévyKhintchine representation of ToaderQi mean, Mathematical Inequalities & Applications 21 (2018), in press.
Commenter:
Commenter's Conflict of Interests: I am the first and corresponding author for this paper
Feng Qi and Bai-Ni Guo, Lévy–Khintchine representation of Toader–Qi mean, Mathematical Inequalities & Applications 21 (2018), no. 2, 421--431; Available online at https://doi.org/10.7153/mia-2018-21-29