Opuscula Mathematica
Opuscula Math. 27, no. 1 (2007), 167-174

J-convexity constants

Jincai Wang
Abstract. We introduce the \(J\)-convexity constants on Banach spaces and give some properties of the constants. We give the relations between the \(J\)-convexity constants and the \(n\)-th von Neumann-Jordan constants. Using the quantitative indices we estimate the value of \(J\)-convexity constants in Orlicz spaces.
Keywords: new quantitative index, \(J\)-convexity constants, \(n\)-th von Neumann-Jordan constants, Orlicz spaces.
Mathematics Subject Classification: 46B20, 46E30.
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Jincai Wang
Suzhou University, Department of Mathematics, P. R. China, 215006
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Received: 2005-12-29.
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Jincai Wang, J-convexity constants, Opuscula Math. 27, no. 1 (2007), 167-174, http://dx.doi.org/10.7494/OpMath.2007.27.1.167.
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