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… Click to show full abstract
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.
               
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