Yet more on the differentiability of convex functions
Yet more on the differentiability of convex functions
Generic differentiability theorems are obtained for convex functions which are defined and locally Lipschitzian on the convex subset <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper N left-parenthesis upper C right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>C</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">N(C)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of nonsupport points of a closed convex subset …