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2011•Unpublished venueRequires access

Strictly F-G Generalized Convex Functions

Chunyan Liu

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Abstract

This paper gives a new class of generalized convex functions-strictly F-G generalized convex functions,and the conditions P1,P2 as well as their properties.It studies on the properties of strictly F-G generalized convex functions,gives two sufficient conditions of strictly F-G generalized convex functions,and points out that under certain conditions,F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions,and semi-strictly F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions.And the paper provides a realistic application of strictly F-G generalized convex functions in minimization problem.

About this research paper

What this paper is about

This paper gives a new class of generalized convex functions-strictly F-G generalized convex functions,and the conditions P1,P2 as well as their properties.It studies on the properties of strictly F-G generalized convex functions,gives two sufficient conditions of strictly F-G generalized convex functions,and points out that under certain conditions,F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions,and semi-strictly F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions.And the paper provides a realistic application of strictly F-G generalized convex functions in minimization problem.

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Available abstract

This paper gives a new class of generalized convex functions-strictly F-G generalized convex functions,and the conditions P1,P2 as well as their properties.It studies on the properties of strictly F-G generalized convex functions,gives two sufficient conditions of strictly F-G generalized convex functions,and points out that under certain conditions,F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions,and semi-strictly F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions.And the paper provides a realistic application of strictly F-G generalized convex functions in minimization problem.

Key concepts: Convexity, Convex function, Mathematics, Regular polygon, Subderivative, Convex analysis, Combinatorics, Pure mathematics

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