2004Unpublished venueRequires access

Some New Properties of the Generalized Convex Functions

Kequan Zhao

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Abstract

E-convex function, semi-E-convex function,quasi-semi-E-convex function and pseudo-semi-E-convex function are all the generations of convex function,i.e, generalized convex functions .In the literatures[1,2],the two authors have obtained some important properties of these functions. This paper provides some new properties of these functions on the basis of their findings.

About this research paper

What this paper is about

E-convex function, semi-E-convex function,quasi-semi-E-convex function and pseudo-semi-E-convex function are all the generations of convex function,i.e, generalized convex functions .In the literatures[1,2],the two authors have obtained some important properties of these functions. This paper provides some new properties of these functions on the basis of their findings.

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Method / approach

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Available abstract

E-convex function, semi-E-convex function,quasi-semi-E-convex function and pseudo-semi-E-convex function are all the generations of convex function,i.e, generalized convex functions .In the literatures[1,2],the two authors have obtained some important properties of these functions. This paper provides some new properties of these functions on the basis of their findings.

Key concepts: Proper convex function, Convex function, Mathematics, Subderivative, Convex analysis, Pseudoconvex function, Convex combination, Convex set

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