Shijie Li
Abstract
Firstly, a new type of convex function is defined in a new way as α convex function,which is a general form of convex function. Moreover, it can draw a conclusion on a series of inequalities. These are generalization of some concerned inequalities among convex functions.
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Firstly, a new type of convex function is defined in a new way as α convex function,which is a general form of convex function. Moreover, it can draw a conclusion on a series of inequalities. These are generalization of some concerned inequalities among convex functions.
Key concepts: Mathematics, Convex function, Convex analysis, Proper convex function, Subderivative, Convex combination, Generalization, Regular polygon