An equivalent condition to the Jensen inequality for the generalized Sugeno integral

For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized S...

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Detalles Bibliográficos
Autores principales: Jaddi, Mohsen, Ebadian, Ali, de la Sen, Manuel, Abbaszadeh, Sadegh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686291/
https://www.ncbi.nlm.nih.gov/pubmed/29200794
http://dx.doi.org/10.1186/s13660-017-1561-2
Descripción
Sumario:For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given.

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