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Journal Article

Stolarsky's inequality for Choquet-like expectation

Agahi H., Mesiar Radko

: Mathematica Slovaca vol.66, 5 (2016), p. 1235-1248

: Choquet-like expectation, Stolarsky’s inequality, Minkowski’s inequality

: 10.1515/ms-2016-0219

: 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

2019-01-07 08:39