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

0394660 - ÚTIA 2014 RIV NL eng J - Článek v odborném periodiku
Agahi, H. - Mohammadpour, A. - Mesiar, Radko - Vaezpour, M. S.
Useful tools for non-linear systems: Several non-linear integral inequalities.
Knowledge-Based System. Roč. 49, č. 1 (2013), s. 73-80. ISSN 0950-7051. E-ISSN 1872-7409
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: Monotone measure * Comonotone functions * Integral inequalities * Universal integral
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 3.058, rok: 2013
http://library.utia.cas.cz/separaty/2013/E/mesiar-useful tools for non-linear systems several non-linear integral inequalities.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0222933