2007Journal of Baoji University of Arts and SciencesRequires access

The weakly logarithmically convex (concave) functions and their properties

Sun Qian-gao

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Abstract

Aim To discuss the weakly logarithmically convex(concave) functions and their properties.Methods The analytical and mathematical induction methods are used.Results Some equivalent descriptions for weakly logarithmically convex(concave) functions are given.Conclusion A weakly logarithmically convex(concave) function has some good properties,and is closely related to a normal convex(concave) function.

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Aim To discuss the weakly logarithmically convex(concave) functions and their properties.Methods The analytical and mathematical induction methods are used.Results Some equivalent descriptions for weakly logarithmically convex(concave) functions are given.Conclusion A weakly logarithmically convex(concave) function has some good properties,and is closely related to a normal convex(concave) function.

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Available abstract

Aim To discuss the weakly logarithmically convex(concave) functions and their properties.Methods The analytical and mathematical induction methods are used.Results Some equivalent descriptions for weakly logarithmically convex(concave) functions are given.Conclusion A weakly logarithmically convex(concave) function has some good properties,and is closely related to a normal convex(concave) function.

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

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