Qi Yi
Abstract
For lower semi continuous functions,some sufficient conditions for being convex and strictly convex are given respectively.The new concepts that almost convexity and almost strictly convexity are proposed and the relation between such convexity and generalized convexity is shown.
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For lower semi continuous functions,some sufficient conditions for being convex and strictly convex are given respectively.The new concepts that almost convexity and almost strictly convexity are proposed and the relation between such convexity and generalized convexity is shown.
Key concepts: Convexity, Mathematics, Convex function, Convex analysis, Subderivative, Proper convex function, Regular polygon, Convex optimization