Berwald type inequality for Sugeno integral

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F10%3A00358806" target="_blank" >RIV/67985556:_____/10:00358806 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2010.10.027" target="_blank" >http://dx.doi.org/10.1016/j.amc.2010.10.027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2010.10.027" target="_blank" >10.1016/j.amc.2010.10.027</a>

Result language
angličtina
Original language name
Berwald type inequality for Sugeno integral
Original language description
Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classicalprobability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integralbased on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given.
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
<a href="/en/project/GA402%2F08%2F0618" target="_blank" >GA402/08/0618: Size and value of information in the optimization over incomplete data</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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