A note on the expression of modulus of convexity

XiaoLin Zeng

doi:10.15352/afa/1399900019

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Home > Journals > Ann. Funct. Anal. > Volume 3 > Issue 1 > Article

2012 A note on the expression of modulus of convexity

XiaoLin Zeng

Ann. Funct. Anal. 3(1): 1-9 (2012). DOI: 10.15352/afa/1399900019

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Abstract

‎It is well known that different kinds of expressions of modulus of‎ ‎convexity are essentially based on two geometrical propositions‎. ‎For‎ ‎one of the propositions we first present a new proof by the‎ ‎Hahn-Banach theorem and intermediate value theorem‎, ‎then give some‎ ‎corollaries to it which lead to some new expressions of modulus of‎ ‎convexity‎.