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Answer by Suvrit for Two (new?) variants of convex functions

If you throw in positive homogeneity, then the first class of functions is what is called sublinear, see for instance Proposition 1.1.4 ("Fundamentals of Convex Analysis"; Hiriart-Urruty, Claude...

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Two (new?) variants of convex functions

I find that the following two types of functions are useful to my research.(i) We know that a function $f: \mathbb{R}_+^m\rightarrow \mathbb{R}$ is called convex if for all ${\bf x,y}\in...

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