Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s , m)-Convexity.

Research in this paper aims to explore the concept of generalized exponentially ( s , m )-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially ( s , m )-convex functions and local fractional integrals. The properties of the generalized new special cases of ( s , m )-convex functions, s-convex functions, and also generalized m-convex functions are impressive. We derive some inequalities of Hadamard's type for generalized exponentially ( s , m )-convex functions, and give applications in probability density functions and generalized special methods to attest to the applicability and efficiency of the method under consideration. [ABSTRACT FROM AUTHOR]