Some inequalities for reciprocally (S,M)––convex in the second sense functions and applications to special means

Abstract

We present the notion of reciprocally (s,m)-convex functions and present some examples and properties of them. We derive some inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejér. In addition, we present some applications of our results to special media of positive real numbers.