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2011•Journal of Guizhou Normal UniversityRequires access

Properities of F-G generalized convex functions

Fang Xiu-nan

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Abstract

This paper gives definitions ofF-G generalized convex functions,intermediate-point F-G generalized convex functions andFquasi convex function.Through defining conditions P1and p2,we study the equality relation between conditions P1and p2.Furthermore,we give the properities of F-G generalized convex functions and point out that under certain conditions,f is F-G generalized convex functions over K if and only if f is intermediate-point F-G generalized convex functions and Fquasi convex function over K.

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What this paper is about

This paper gives definitions ofF-G generalized convex functions,intermediate-point F-G generalized convex functions andFquasi convex function.Through defining conditions P1and p2,we study the equality relation between conditions P1and p2.Furthermore,we give the properities of F-G generalized convex functions and point out that under certain conditions,f is F-G generalized convex functions over K if and only if f is intermediate-point F-G generalized convex functions and Fquasi convex function over K.

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Available abstract

This paper gives definitions ofF-G generalized convex functions,intermediate-point F-G generalized convex functions andFquasi convex function.Through defining conditions P1and p2,we study the equality relation between conditions P1and p2.Furthermore,we give the properities of F-G generalized convex functions and point out that under certain conditions,f is F-G generalized convex functions over K if and only if f is intermediate-point F-G generalized convex functions and Fquasi convex function over K.

Key concepts: Mathematics, Convex function, Regular polygon, Subderivative, Convex combination, Convex analysis, Proper convex function, Pure mathematics

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