Notes on the arithmetic–geometric mean inequality

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-01-17 DOI:10.1007/s00010-023-01025-1

Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh

引用次数: 0

Abstract

In this paper, we give a matrix version of an equivalent form of the classical arithmetic–geometric mean inequality for two positive scalars. Applications and generalizations of our results are also given.

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关于算术几何平均数不等式的说明

本文给出了两个正标量的经典算术几何均值不等式的等价形式的矩阵版本。本文还给出了我们结果的应用和概括。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.