Jensen's inequality for distributions possessing higher moments, with application to sharp bounds for Laplace-Stieltjes transforms-Reference-Cited by-同舟云学术

Jensen's inequality for distributions possessing higher moments, with application to sharp bounds for Laplace-Stieltjes transforms

Published:1998-07 Issue:1 Volume:40 Page:80-85
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Guljaš B.,Pearce C. E. M.,Pečarić J.

Abstract

AbstractA new version of Jensen's inequality is established for probability distributions on the non-negative real numbers which are characterized by moments higher than the first. We deduce some new sharp bounds for Laplace-Stieltjes transforms of such distribution functions.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference8 articles.

1. Sharp mean-variance bounds for Jensen-type inequalities

2. A criterion forn-convexity

3. Some inequalities for GI/M/n queues;Rolski;Zastos. Mat.,1972

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterization of Probability Distributions via Functional Equations of Power-Mixture Type;Mathematics;2021-01-29

2. Necessary and sufficient conditions for unique solution to functional equations of Poincaré type;Journal of Mathematical Analysis and Applications;2020-11

3. Voluntary Disclosure in Unfair Contests;SSRN Electronic Journal;2018

4. Single-cell histories in growing populations: relating physiological variability to population growth;2017-01-15

5. A CHARACTERIZATION OF DISTRIBUTIONS BY RANDOM SUMMATION;Taiwanese Journal of Mathematics;2012-07-01