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