@Article{Wang2007, author = "Wang, Jincai", title = "J-convexity constants", journal = "Opuscula Math.", year = "2007", volume = "27", number = "1", pages = "167--174", doi = "http://dx.doi.org/10.7494/OpMath.2007.27.1.167", url = "http://dx.doi.org/10.7494/OpMath.2007.27.1.167", 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", issn = "1232-9274" }