The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

In order to be able study cosmic phenomena more accurately and broadly, it was necessary expand the concept of calculus. this study, we aim introduce a new fractional Hermite–Hadamard–Mercer’s inequality its integral type inequalities. To facilitate that, use proportional operators integrable functions with respect another continuous strictly increasing function. Moreover, establish some weighted φ -proportional Hermite–Hadamard–Mercer Furthermore, in article, are keen present special cases related our current compared previous work under study.