## ON GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR MULTIPLICATIVELY P-FUNCTIONS

## ON GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR MULTIPLICATIVELY P-FUNCTIONS

*H. Kadakal*

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## Abstract

In this paper, by using H ̈older-I ̇ ̧scan, H ̈older and power-mean integral in- equality and an general identity for differentiable functions we can obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively P-functions. In addition, It is proved that the result obtained Ho ̈lder-I ̇ ̧scan integral inequality is better than the result obtained Ho ̈lder integral inequality. Some applications to special means of real numbers are also given.

## Keywords

Ho ̈lder-I ̇ ̧scan inequality, Hermite-Hadamard inequality, Simpson type inequal- ity, Ostrowski type inequality, trapezoid type inequality, midpoint type inequality, convex function, multiplicatively P-functions.