Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions

Abstract

In the paper, with the help of two known integral identities and by virtue of the classical Hölder integral inequality, the authors establish several new integral inequalities of the Hermite–Hadamard type for convex functions. These newly established inequalities generalize some known results.

Keywords

• generalization
• integral inequality
• convex function
• Hermite–Hadamard type