On conformable fractional versions of trapezoid-type inequalities according to twice-differentiable functions

Abstract

This paper proves an equality for the case of twice-differentiable convex mappings with respect to the conformable fractional integrals. With the help of this equality, several trapezoid-type inequalities are established by convex functions involving conformable fractional integrals. Sundry significant inequalities are acquired with taking advantage of the convexity, the Holder inequality, and the ¨ power mean inequality. Furthermore, we present several new results connected with trapezoid-type inequalities by using the special choices of obtained results.