In this paper, we establish some inequalities for differentiable convex mappings whose derivatives in absolute value are convex. This result is connected with Fejér’s inequality holding for convex mappings. Some applications for the weighted trapezoidal formula, $r−moment$, and the expectation of a symmetric and continuous random variable are given.
No takes yet. Share an insight, caveat, or question.
Tseng et al. (2011) studied this question.