Huang Jin
Abstract
A semicontinuous function on the nonempty convex set is convex or strictly convex,if it is of intermediate-point convexity or intermediate-point strict convexity respectively.For the F-G generalized convex function with conditions p1 and p2,there is a similar conclusion,if the function is continuous.
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A semicontinuous function on the nonempty convex set is convex or strictly convex,if it is of intermediate-point convexity or intermediate-point strict convexity respectively.For the F-G generalized convex function with conditions p1 and p2,there is a similar conclusion,if the function is continuous.
Key concepts: Convexity, Mathematics, Pseudoconvex function, Convex function, Subderivative, Convex set, Convex analysis, Regular polygon