%0 Journal Article %T The equality case in some recent convexity inequalities %A Gyula Maksa %A Zsolt P¨¢les %J Opuscula Mathematica %D 2011 %I AGH University of Science and Technology %X In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities. %K generalized convexity %K affine functions %K functional equations %K extension theorem %U http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3118.pdf