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
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Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of
https://orcid.org/0000-0002-3028-1961
Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of
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