THERMAL SCIENCE

International Scientific Journal

Wen-Ting Luo

,

You-Jun Zhou

,

Hai-Miao Meng

,

Lu-Wei Tang

SOME INTEGRAL INEQUALITIES ON PROBABILITY SPACE

ABSTRACT
Holder’s inequality and Minkowski’s inequality are important tools in probability theory and mathematical analysis and they have wide applications in many branches of mathematics. This paper studies the reverse probability inequalities of these, as well as their generalizations and improvements.
KEYWORDS
Holder’s inequality, Minkowski’s inequality, Young inequality, reverse probability inequality
PAPER SUBMITTED: 2024-07-01
PAPER REVISED: 2024-10-01
PAPER ACCEPTED: 2024-11-21
PUBLISHED ONLINE: 2025-05-03
DOI REFERENCE: https://doi.org/10.2298/TSCI2502083L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE No. 2, PAGES [1083 - 1088]
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Some integral inequalities on probability space

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence