Shigeru Furuichi, Mehdi Eghbali Amlashi
Abstract
We give a refined Young inequality which generalizes the inequality by Zou--Jiang. We also show the upper bound for the logarithmic mean by the use of the weighted geometric mean and the weighted arithmetic mean. Furthermore, we show some inequalities among the weighted means.
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We give a refined Young inequality which generalizes the inequality by Zou--Jiang. We also show the upper bound for the logarithmic mean by the use of the weighted geometric mean and the weighted arithmetic mean. Furthermore, we show some inequalities among the weighted means.
Key concepts: Inequality, Logarithmic mean, Logarithm, Mathematics, Geometric mean, Weighted geometric mean, Weighted arithmetic mean, Inequality of arithmetic and geometric means