A study on Hermite-Hadamard-type inequalities via new fractional conformable integrals

Abstract

Due to their wide range of applications in many areas of modern analysis, the splendid Hermite-Hadamard inequalities for convex function are very attractive for researcher community. Many authors have been working on their variants, refinements and extensions. The aim of this research is to establish a novel identity and Hermite-Hadamard-type inequalities for convex functions linked with the renowned conformable integral operators. We have pointed some particular cases of the results obtained here in order to show that they reduce some well-known results to relatively simple ones.