Local and global comparison of generalized Bajraktarevi\'c means

Throughout this paper, the symbols R and R+ will stand for the sets of real and positive real numbers, respectively, and I will always denote a nonempty open real interval. Given a strictly monotone continuous function f : I → R and an n-tuple of positive valued functions p = (p1, . . . , pn) : I → R n +, the n-variable generalized Bajraktarević mean Af,p : I n → I is given by the following formula: