Novel Ostrowski type inequalities via exponentially (m1, m2)-convex functions and their applications

Abstract

In this work, we introduce and explore the new concept of convexity class, namely exponential (m(1), m(2))-convex functions along with some examples. In extension, we perform an artistic analysis of the properties of this class. We give the formulation of the new quadrature type identity. Based on this identity, we obtain some integral inequalities for the introduced convex functions via fractional operators tool. In addition, specific means of different positive real numbers and some new limits for the q- digamma function are also presented.