Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00559710" target="_blank" >RIV/67985556:_____/22:00559710 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0096300321007670?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300321007670?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2021.126683" target="_blank" >10.1016/j.amc.2021.126683</a>

Result language
angličtina
Original language name
Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral
Original language description
The purpose of this paper is to investigate the Thunsdorffs inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral . Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorffs inequality, we prove Frank-Pick type inequality for the Sugeno integral and illustrate it by an example.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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