Perturbed trapezoid inequalities for <em>n</em> th order differentiable convex functions and their applications

Abstract

In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special means are provided.

Keywords

• integral operators
• fractional integral operators
• conformable integral operators
• convex functions
• bounds