MORE ON CERTAIN OPIAL-TYPE INEQUALITY FOR FRACTIONAL DERIVATIVES AND EXPONENTIALLY CONVEX FUNCTIONS

Abstract

In this paper we consider a certain class of convex functions in Opial-typeintegral inequalities. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the observed integral inequalities. A method of producing n-exponentially convex and exponentially convex functions is applied. Also, some new Opial-type equalities are given involving fractional integrals and fractional derivatives.