Extended Hermite–Hadamard inequalities

Abstract

In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.

Keywords

• fractional derivatives
• cotangent integral operators
• confluent hypergeometric function
• hermite–hadamard inequalities
• optimization