Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Abstract

We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:math>-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.