Weighted Hermite-Hadamard-type inequalities without any symmetry condition on the weight function

Abstract

We establish weighted Hermite-Hadamard-type inequalities for some classes of differentiable functions without assuming any symmetry property on the weight function. Next, we apply our obtained results to the approximation of some classes of weighted integrals.

Keywords

• hermite-hadamard inequality
• fejér inequality
• convex functions
• numerical integration
• 65d30
• 65d30
• 26d15