Bibliografie
Journal Article
Stolarsky's inequality for Choquet-like expectation
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: Mathematica Slovaca vol.66, 5 (2016), p. 1235-1248
: Choquet-like expectation, Stolarsky’s inequality, Minkowski’s inequality
: http://library.utia.cas.cz/separaty/2016/E/mesiar-0469701.pdf
(eng): Expectation is the fundamental concept in statistics and probability. As two generalizations\nof expectation, Choquet and Choquet-like expectations are commonly used tools in generalized\nprobability theory. This paper considers the Stolarsky inequality for two classes of Choquet-like integrals.\nThe first class generalizes the Choquet expectation and the second class is an extension of the\nSugeno integral. Moreover, a new Minkowski’s inequality without the comonotonicity condition for two\nclasses of Choquet-like integrals is introduced. Our results significantly generalize the previous results\nin this field. Some examples are given to illustrate the results.
: BA