Two inequalities for differentiable mappings and applications to weighted trapezoidal formula, weighted midpoint formula and random variable
In this paper, we establish two inequalities for differentiable convex mappings and differentiable concave mappings which are connected with Fejer's inequality holding for convex mappings and concave mappings. Some error estimates for the weighted trapezoidal formula and the weighted midpoint formula are given. (C) 2010 Elsevier Ltd. All rights reserved.
weighted trapezoidal formula weighted midpoint formula convex mappings concave mappings fejer's inequality hermite-hadamard's inequality