Stolarsky's inequality for Choquet-like expectation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00469701" target="_blank" >RIV/67985556:_____/16:00469701 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/ms-2016-0219" target="_blank" >http://dx.doi.org/10.1515/ms-2016-0219</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2016-0219" target="_blank" >10.1515/ms-2016-0219</a>

Result language
angličtina
Original language name
Stolarsky's inequality for Choquet-like expectation
Original language description
Expectation is the fundamental concept in statistics and probability. As two generalizationsnof expectation, Choquet and Choquet-like expectations are commonly used tools in generalizednprobability 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 thenSugeno integral. Moreover, a new Minkowski’s inequality without the comonotonicity condition for twonclasses of Choquet-like integrals is introduced. Our results significantly generalize the previous resultsnin this field. Some examples are given to illustrate the results.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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