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Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

机译:调和函数的某些Fejer型不等式及其在特殊均值中的应用

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In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex functions. The results presented in this paper are better than those established in recent literature concerning harmonically convex functions. Applications of our results to special means of positive real numbers are given as well.
机译:本文介绍了函数的谐波对称性的概念。建立了一个包含谐波对称函数的新恒等式,并针对一类谐波凸函数提出了一些新的费耶型积分不等式。本文提出的结果要优于最近关于谐调凸函数的文献中确定的结果。还给出了将我们的结果应用于正实数的特殊方法。

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