Is there any proof of the continuous version of Jensen's inequality for generalized convex functions (s-convex, h-convex, or other)?

Jorge Eliecer Hernandez Hernandez @Jorge-Hernandez-Hernandez

04 July 2017 0 7K Report

If we consider functions of the s-convex or h-convex type, as examples of generalized convexity, is it valid or not the Jensen inequality in continuous version? Using the Riemman integral or the Lebesgue integral?

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