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Stolarsky's inequality for Choquet-like expectation

In: Mathematica Slovaca, vol. 66, no. 5
Hamzeh Agahi - Radko Mesiar

Details:

Year, pages: 2016, 1235 - 1248
Keywords:
Choquet-like expectation, Stolarsky's inequality, monotone probability, Minkowski's inequality
About article:
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.
How to cite:
ISO 690:
Agahi, H., Mesiar, R. 2016. Stolarsky's inequality for Choquet-like expectation. In Mathematica Slovaca, vol. 66, no.5, pp. 1235-1248. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0219

APA:
Agahi, H., Mesiar, R. (2016). Stolarsky's inequality for Choquet-like expectation. Mathematica Slovaca, 66(5), 1235-1248. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0219
About edition:
Published: 1. 10. 2016