0469701 - ÚTIA 2017 RIV SK eng J - Článek v odborném periodiku
Agahi, H. - Mesiar, Radko
Stolarsky's inequality for Choquet-like expectation.
Mathematica Slovaca. Roč. 66, č. 5 (2016), s. 1235-1248. ISSN 0139-9918. E-ISSN 1337-2211
Institucionální podpora: RVO:67985556
Klíčová slova: Choquet-like expectation * Stolarsky’s inequality * Minkowski’s inequality
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.346, rok: 2016 ; AIS: 0.125, rok: 2016
Web výsledku:
http://library.utia.cas.cz/separaty/2016/E/mesiar-0469701.pdf

DOI: https://doi.org/10.1515/ms-2016-0219

Expectation is the fundamental concept in statistics and probability. As two generalizations
of expectation, Choquet and Choquet-like expectations are commonly used tools in generalized
probability theory. This paper considers the Stolarsky inequality for two classes of Choquet-like integrals.
The first class generalizes the Choquet expectation and the second class is an extension of the
Sugeno integral. Moreover, a new Minkowski’s inequality without the comonotonicity condition for two
classes of Choquet-like integrals is introduced. Our results significantly generalize the previous results
in this field. Some examples are given to illustrate the results.
Trvalý link: http://hdl.handle.net/11104/0269127