Authors: Simić, Slavko 
Title: Second and third order moment inequalities for probability distributions
Journal: Acta Mathematica Hungarica
Volume: 155
Issue: 2
First page: 518
Last page: 532
Issue Date: 1-Aug-2018
Rank: M22
ISSN: 0236-5294
DOI: 10.1007/s10474-018-0848-1
Abstract: 
We give refinements of some convex and log-convex moment inequalities. We derive second and third order inequalities using a special kind of algebraic positive semi-definite forms. An open problem concerning an eight parameter refinement of the third order is also stated. We suggest some applications of our results in information theory concerning relative divergence of type s and in theory of means.
Keywords: Jensen’s inequality | moment inequality | positive semi-definite form | relative divergence
Publisher: Springer Link

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