2003•Unpublished venueRequires access

On Popularization of Bingary Convex Function

Hongwu Xu

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Abstract

Convex (or concave)function possesses a great number of specific properties,which is widely applied in such aspectts as the the proof of inequality and the estimation of errors.This article presents the definition of binary convex function,and also proves that the binary convex function in open and convex region must be continuous,popularizes jensen′s inequality and establishes the decision theorem of binary convex function.

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What this paper is about

Convex (or concave)function possesses a great number of specific properties,which is widely applied in such aspectts as the the proof of inequality and the estimation of errors.This article presents the definition of binary convex function,and also proves that the binary convex function in open and convex region must be continuous,popularizes jensen′s inequality and establishes the decision theorem of binary convex function.

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Available abstract

Convex (or concave)function possesses a great number of specific properties,which is widely applied in such aspectts as the the proof of inequality and the estimation of errors.This article presents the definition of binary convex function,and also proves that the binary convex function in open and convex region must be continuous,popularizes jensen′s inequality and establishes the decision theorem of binary convex function.

Key concepts: Mathematics, Convex analysis, Subderivative, Proper convex function, Convex function, Convex combination, Regular polygon, Function (biology)

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