Institute of Information Theory and Automation

Publication details

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

Journal Article

Agahi H., Mohammadpour A., Mesiar Radko, Vaezpour M. S.

serial: Knowledge-Based System vol.49, 1 (2013), p. 73-80

project(s): GAP402/11/0378, GA ČR

keywords: Monotone measure, Comonotone functions, Integral inequalities, Universal integral

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abstract (eng):

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.


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Last modification: 21.12.2012
Institute of Information Theory and Automation