real analysis - The dual function g is concave, even when the

Wikipedia reads, "The dual function g is concave, even when the initial problem is not convex, because it is a point-wise infimum of affine functions." Can someone explain this? Maybe provide a basic

Jensen's inequality - Wikipedia

The Lagrangean dual function L(π) seen a piecewise affine concave

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SOLVED: 13. Suppose g (z) 2 c a. On what intervals is g concave up

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Folland , real analysis, theorem 6.14, dual of Lp spaces

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Concave and Quasi-Concave Functions - New York University

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Jensen's inequality - Wikiwand