This paper is concerned with some new Hermite-Hadamard inequalities on two types of time scales, Z and Nc,h. Based the substitution rules, we first prove discrete relating to midpoint a+b2 extend them fractional forms. In addition, by using traditional methods, Nc,h explore corresponding involving nabla h-fractional sums. Finally, examples are given illustrate obtained results.

In this study, we introduce a new conformable derivative, namely the beta-conformable derivative. We derive Taylor?s theorem for also investigate some properties of and useful related theorems light operator, extend recent classical integral inequalities including Steffensen Hermite-Hadamard inequality.

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples