Useful tools for non-linear systems: Several non-linear integral inequalities

Authors:
Hamzeh Agahi;Adel Mohammadpour;Radko Mesiar;S. Mansour Vaezpour
Affiliations:
-;-;-;-
Venue:
Knowledge-Based Systems
Year:
2013

Citing 17
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Abstract

Integral inequalities play important roles in classical probability and measure theory. Universal integrals provide a useful tool in many problems in engineering and non-linear systems where the aggregation of data is required. We discuss several inequalities including Hardy, Berwald, Barnes-Godunova-Levin, Markov and Chebyshev for a monotone measure-based universal integral. Some recent results are obtained as corollaries. Finally, we provide some applications of our results in intelligent decision support systems, estimation and information fusion.