B. D. Craven, B. M. Glover
Abstract
The well-known first order characterization of real-valued convex functions is here extended to a class of non-differentiable functions which are convex with respect to the ordering induced by a closed cone in a locally convex topological vector space.
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The well-known first order characterization of real-valued convex functions is here extended to a class of non-differentiable functions which are convex with respect to the ordering induced by a closed cone in a locally convex topological vector space.
Key concepts: Mathematics, Differentiable function, Convex analysis, Proper convex function, Regular polygon, Convex function, Subderivative, Pure mathematics