Mean Inequalities for the Numerical Radius

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-10-13 DOI:10.1080/01630563.2023.2265649

Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh

引用次数: 0

Abstract

AbstractExtending certain scalar and norm inequalities, we present new inequalities for the numerical radius, which generalize and refine some known results. Applications of the obtained inequalities include a new original proof of the matrix arithmetic-geometric mean inequality and certain extensions of some well-established results from the literature for products of matrices.KEYWORDS: Convex functionnorm inequalitynumerical radiusMATHEMATICS SUBJECT CLASSIFICATION: Primary: 15A60Secondary: 47A1247A30 Authors’ contributionsThe authors have contributed equally to this work.Disclosure statementAll authors declare that they have no conflicts of interest.Additional informationFundingThe authors did not receive any funding to accomplish this work.

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数值半径的平均不等式

摘要通过对某些标量和范数不等式的推广，给出了数值半径的一些新的不等式，推广和改进了一些已知的结果。所得到的不等式的应用包括矩阵算术-几何平均不等式的一个新的原始证明，以及文献中关于矩阵乘积的一些已建立的结果的某些推广。关键词:凸函数，范数不等式，数值半径，数学学科分类:初级:15a60，次级:47A1247A30，作者的贡献作者对这项工作有同等的贡献。声明所有作者声明他们没有利益冲突。作者没有获得任何资金来完成这项工作。

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.