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

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Solved The graph of the continuous function g is shown above

Characteristic function (probability theory) - Wikipedia

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supremum and infimum - Why is the lagrange dual function concave

Path solutions to the concave regression problem. Left: the

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Cauchy–Fantappiè Integral Formula for Holomorphic Functions on

Introduction to Real Analysis (Instructor Solution Manual) [1 

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

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All Lagrangian Duals (of Minimizations) are Concave