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Let be an -convex function on.
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If is exponentially convex function, then is a -convex function in Jensens sense: (1.15).
Let be a positive, -convex function on.
Let, be a convex function, be an increasing function on such that, and be -integrable on.
Let be an increasing convex function on,,.
An m-convex function need not be a convex function, as the following example shows.
Let be a convex function.
Let ρ be a convex function modular.
Further, let be a convex function.
Thus, must be a convex function when.
Let be a convex function defined on an interval and.
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