In this paper, by using both the Hölder, power-mean integral inequalities and Hölder-İşcan, improved power-mean integral inequalities that give approach better than Hölder and power-mean inequalities respectively, some new Ostrowski type inequalities are derived for multiplicatively P-function. The results obtained in both cases are compared and the results obtained using Hölder-İşcan and improved power-mean integral inequalities are proven to be better. Some applications to special means of real numbers are given.

中文翻译：

---

乘法 P 函数的 Ostrowski 型不等式

在本文中，通过同时使用 Hölder，幂均值积分不等式和 Hölder-İşcan，改进的幂均值积分不等式，它们分别给出比 Hölder 和幂均值不等式更好的方法，导出了一些新的 Ostrowski 型不等式，用于乘法P -功能。比较两种情况下获得的结果，证明使用 Hölder-İşcan 和改进的幂均值积分不等式获得的结果更好。给出了实数特殊方法的一些应用。