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

Opuscula Mathematica

# 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
• Received: 2005-12-29.

Cite this article as:
Jincai Wang, J-convexity constants, Opuscula Math. 27, no. 1 (2007), 167-174

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