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

0559710 - ÚTIA 2023 RIV US eng J - Článek v odborném periodiku
Daraby, B. - Mesiar, Radko - Rostampour, F. - Rahimi, A.
Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral.
Applied Mathematics and Computation. Roč. 414, č. 1 (2022), č. článku 126683. ISSN 0096-3003. E-ISSN 1873-5649
Institucionální podpora: RVO:67985556
Klíčová slova: Sugeno integral * Thunsdorffs inequality * Frank-Pick's inequality
Obor OECD: Pure mathematics
Impakt faktor: 4, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0333419