论文标题

加权对数平均值的精致不平等

Refined inequalities on the weighted logarithmic mean

论文作者

Furuichi, Shigeru, Minculete, Nicuşor

论文摘要

受R.Pal等人最近的工作的启发,我们对凸Riemann Bynectable函数的进一步不平等,采用了标准的Hermite-Hadamard不平等。我们的方法与\ cite {psma2016}中的方法不同。作为推论,我们给出了加权对数平均值和加权标识平均值的精致不平等。还提供了一些进一步的扩展。

Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As corollaries, we give the refined inequalities on the weighted logarithmic mean and weighted identric mean. Some further extensions are also given.

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