## ON REFINEMENTS OF SOME INTEGRAL INEQUALITIES

## ON REFINEMENTS OF SOME INTEGRAL INEQUALITIES

*K. Bekar*

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## Abstract

In this study, using H ̈older-I ̇ ̧scan integral inequality as a better approach than Ho ̈lder integral inequality, Improved power-mean integral inequality as a better approach than power-mean inequality and an identity for differentiable functions, the inequalities for functions whose derivatives in absolute value at certain power are convex are obtained. Some applications to special means of real numbers and some error esti- mates related to midpoint formula are also given.

## Keywords

Convex function, Hermite-Hadamard’s inequality, Ho ̈lder-I ̇ ̧scan inequality, Improved power-mean inequality.