OPERATOR INEQUALITIES VIA THE TRIANGLE INEQUALITY

被引：0

作者：

Sababheh, Mohammad ^{[1
]}

Furuichi, Shigeru ^{[2
,3
]}

Moradi, Hamid Reza ^{[4
]}

机构：

[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan

[2] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo, Japan

[3] SIMATS, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamilnadu, India

[4] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 02期

关键词：

Triangle inequality; numerical radius; operator geometric mean; convex func- tion; NUMERICAL RADIUS INEQUALITIES;

D O I：

10.7153/jmi-2024-18-35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article improves the triangle inequality for complex numbers, using the HermiteHadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications involve numerical radius inequalities and operator mean inequalities.

引用

页码：631 / 642

页数：12

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