0559710 20230324084920.520220805235959.9 85116331369 000703238100006 10.1016/j.amc.2021.126683 6 s. P cav_un_epca*02561600096-3003414Elsevier Sugeno integral Thunsdorffs inequality Frank-Pick's inequality cav_un_auth*0434062 Daraby B. IR 25 K cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 25 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0434063 Rostampour F. IR 25 cav_un_auth*0434064 Rahimi A. IR 25 http://library.utia.cas.cz/separaty/2022/E/mesiar-0559710.pdf https://www.sciencedirect.com/science/article/pii/S0096300321007670?via%3Dihub 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. WOS BA 10000 10100 10101 2023 4 RVO:67985556 https://hdl.handle.net/11104/0333419 S 126683 Article Mathematics Applied C MATHEMATICS.APPLIED 3.4 2 7.7 0.02861 0.825 37295 0.962 3.600 746 Q1 96.4 Q2 Q2 2.29 Q1 96.4 2022 85116331369 SCOPUS PUBMED 000703238100006 WOS cav_un_epca*0256160 Applied Mathematics and Computation 0096-3003 1873-5649 Roč. 414 č. 1 2022 Elsevier