Publication details

Journal Article

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

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

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

: GAP402/11/0378, GA ČR

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

: 10.1016/j.knosys.2013.04.016

: http://library.utia.cas.cz/separaty/2013/E/mesiar-useful tools for non-linear systems several non-linear integral inequalities.pdf

(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.

: BA