Pseudo-fractional integral inequality of Chebyshev type

0506954 - ÚTIA 2020 US eng J - Journal Article
Agahi, H. - Babakhani, A. - Mesiar, Radko
Pseudo-fractional integral inequality of Chebyshev type.
Information Sciences. Roč. 301 (2015), s. 161-168. ISSN 0020-0255. E-ISSN 1872-6291
Institutional support: RVO:67985556
Keywords : Choquet integral * Sugeno integral * Monotone measure
OECD category: Applied mathematics
Impact factor: 3.364, year: 2015
http://library.utia.cas.cz/separaty/2019/E/mesiar-0506954.pdf

In this paper, we give a general version of Chebyshev type inequality for pseudo-convolution integral on a semiring ([a,b],•,·). Our result is flexible enough to support both pseudo-integral and convolution integral, (e.g., fractional integral), thus closing the series of papers. It includes the corresponding results of Agahi et al. [1] as a special case. Finally, some concluding remarks are drawn and some open problems for further investigations are given.
Permanent Link: http://hdl.handle.net/11104/0298080