Berwald-type inequalities for Sugeno integral with respect to ( α , m , r ) g ${ ( {\alpha,m,r} )_{g}}$ -concave functions

Autor: Dong-Qing Li, Yu-Hu Cheng, Xue-Song Wang, Xue Qiao
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-17 (2016)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-016-0974-7
Popis: Abstract In this paper, we introduce the concept of an ( α , m , r ) g ${ ( {\alpha,m,r} )_{g}}$ -concave function as a generalization of a concave function. Then we establish Berwald-type inequalities for the Sugeno integral based on this kind of functions. Our work generalizes the previous results in the literature. Finally, we give some conclusions and problems for further investigations.
Databáze: Directory of Open Access Journals