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

# J-convexity constants

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.