Some New Properties of the Generalized Convex Functions
Kequan Zhao
Abstract
Kequan Zhao
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.
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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