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Journal Article

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

Daraby B., Mesiar Radko, Rostampour F., Rahimi A.

: Applied Mathematics and Computation vol.414, 126683

: Sugeno integral, Thunsdorffs inequality, Frank-Pick's inequality

: 10.1016/j.amc.2021.126683

: http://library.utia.cas.cz/separaty/2022/E/mesiar-0559710.pdf

: https://www.sciencedirect.com/science/article/pii/S0096300321007670?via%3Dihub

(eng): 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.

: BA

: 10101