Sandwich Type Results For m-Convex Real Functions

Abstract

We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.

Keywords

• m-convex function
• m-affine function
• jensen type inequality
• sandwich theorem
• 26a51
• 26b25
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