Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions

摘要

In this paper we prove some Hermite-Hadamard, Fejer and Sherman type inequlitiesfor generalizations of superquadratic functions and convex functions. These results, under amonotonicity condition, lead to refinements of the Hermite-Hadamard, Fejer and Sherman inequalitiesof non-negative convex functions. Also, the obtained inequalities are discussed aboutand compared with some recent generalizations of weighted Hermite-Hadamard inequalities.