On the Remainder of the First Order Development of Convex Functions
نویسنده
چکیده
A study of the remainder term in the first order conical development of a convex function is given in the framework of infinite dimensional normed spaces. Lower and upper estimates of this remainder are tackled, and the action of the conjugacy operation on these estimates is characterized. In particular, we shed some light on the duality between the class of conically differentiable convex functions and the class of metrically well-set functions.
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