Jensen Inequality with Subdifferential for Sugeno Integral
نویسندگان
چکیده
The classical Jensen inequality for concave function φ is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.
منابع مشابه
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 Sugeno integral are given.
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