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2011•Journal of Guangxi Teachers Education UniversityRequires access

Average Local Uniform Convexity and Average Local Uniform Smoothness in Locally Convex Spaces

WU Jian-gong

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Abstract

We obtained some necessary and sufficient conditions for average uniform convexity in locally converx spaces.At the same time,we discussed the relationship between this convexity and some other convexity.

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What this paper is about

We obtained some necessary and sufficient conditions for average uniform convexity in locally converx spaces.At the same time,we discussed the relationship between this convexity and some other convexity.

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Available abstract

We obtained some necessary and sufficient conditions for average uniform convexity in locally converx spaces.At the same time,we discussed the relationship between this convexity and some other convexity.

Key concepts: Convexity, Smoothness, Mathematics, Regular polygon, Uniformly convex space, Mathematical analysis, Pure mathematics, Geometry

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