A VARIANT OF JESSEN'S INEQUALITY OF MERCER'S TYPE FOR SUPERQUADRATIC FUNCTIONS
ABSTRACT. A variant of Jessen’s inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen’s inequality of Mercer’s type for convex functions. The result is used to refine some comparison,inequalities of Mercer’s type between,functional power means and between functional quasi-arithmetic means. Key words and phrases: Isotonic linear functionals, Jessen’s inequality, Superquadratic functions, Functional quasi-arithmetic
Published in 2008.