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

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" An equivalent condition to the Jensen inequality for the generalized Sugeno integral. "
Jaddi, Mohsen; Ebadian, Ali; de la Sen, Manuel; Abbaszadeh, Sadegh

Document Type	:	AL
Record Number	:	910424
Doc. No	:	LA1cf374x6
Title & Author	:	An equivalent condition to the Jensen inequality for the generalized Sugeno integral. [Article]\ Jaddi, Mohsen; Ebadian, Ali; de la Sen, Manuel; Abbaszadeh, Sadegh
Date	:	2017
Title of Periodical	:	UC Santa Cruz
Abstract	:	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.