An improved inequality for logarithmic mean

The Mathematical Gazette 2026

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Authors: Wenti Zhong
DOI: 10.1080/00255572.2025.2558268
Cited by: 0
References: 7

Abstract

We establish an inequality comparing the logarithmic mean with combinations of the arithmetic and geometric means, which improves a well-known inequality for the logarithmic mean.

Fields of Study & Subjects

Mathematical Inequalities and Applications Advanced Mathematical Identities Mathematics and Applications

Publication details

Journal / source
The Mathematical Gazette
Pages
1–8
Publication date
19 January 2026
Language
EN