Estimation type results related to Fejér inequality with applications

Abstract

Abstract This paper deals with some new theorems and inequalities about a Fejér type integral inequality which estimate the difference between the right and middle part in Fejér inequality with new bounds. Also some applications to higher moments of random variables, an error estimate for trapezoidal formula, and some inequalities in connection with special means are given.

Keywords

• Convex function
• Fejér inequality
• Trapezoidal formula
• Random variable