AIMS Mathematics (Jun 2021)
Generalization of some fractional versions of Hadamard inequalities via exponentially (α,h−m)-convex functions
Abstract
In this paper we give Hadamard inequalities for exponentially (α,h−m)-convex functions using Riemann-Liouville fractional integrals for strictly increasing function. Results for Riemann-Liouville fractional integrals of convex, m-convex, s-convex, (α,m)-convex, (s,m)-convex, (h−m)-convex, (α,h−m)-convex, exponentially convex, exponentially m-convex, exponentially s-convex, exponentially (s,m)-convex, exponentially (h−m)-convex, exponentially (α,h−m)-convex functions are particular cases of the results of this paper. The error estimations of these inequalities by using two fractional integral identities are also given.
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