2010Journal of Suzhou UniversityRequires access

On the Properties of Semi B-(E,F) Convex Function

MA Xiao-na

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Abstract

Convexity and generalized convexity play an important role in mathematical programming optimization theory and optimization theory and many other areas of mathematics,but the limitations of convexity are also very obvious.In this thesis,two classes of generalized convex functions,B-convex function and semi(E,F)-convex function,are researched furtherly.First,a new class of generalized convexity,semi B-(E,F) convexity,is introduced.This paper introduces the nature of the new semi B-(E,F)convex function.The results presented in this paper extend the corresponding results,which have been otained by several authors early and recently.

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What this paper is about

Convexity and generalized convexity play an important role in mathematical programming optimization theory and optimization theory and many other areas of mathematics,but the limitations of convexity are also very obvious.In this thesis,two classes of generalized convex functions,B-convex function and semi(E,F)-convex function,are researched furtherly.First,a new class of generalized convexity,semi B-(E,F) convexity,is introduced.This paper introduces the nature of the new semi B-(E,F)convex function.The results presented in this paper extend the corresponding results,which have been otained by several authors early and recently.

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Available abstract

Convexity and generalized convexity play an important role in mathematical programming optimization theory and optimization theory and many other areas of mathematics,but the limitations of convexity are also very obvious.In this thesis,two classes of generalized convex functions,B-convex function and semi(E,F)-convex function,are researched furtherly.First,a new class of generalized convexity,semi B-(E,F) convexity,is introduced.This paper introduces the nature of the new semi B-(E,F)convex function.The results presented in this paper extend the corresponding results,which have been otained by several authors early and recently.

Key concepts: Convexity, Convex function, Convex optimization, Regular polygon, Mathematics, Function (biology), Convex analysis, Class (philosophy)

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