3 papers
math.FA2022
On bounds of logarithmic mean and mean inequality chain
Shigeru Furuichi, Mehdi Eghbali Amlashi
An upper bound of the logarithmic mean is given by a convex combination of the arithmetic mean and the geometric mean. In addition, a lower bound of the logarithmic mean is given b…
math.FA2021
A Refinement of the arithmetic-geometric mean inequality and some more
Mehdi Eghbali Amlashi, Mahmoud Hassani
In this note, we present a refinement of the well-known AM-GM inequality. We use this improved inequalty to establish corresponding inequalities on Hilbert space. We also give some…
math.CA2021
More results on weighted means
Shigeru Furuichi, Mehdi Eghbali Amlashi
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 a…