SOME REFINEMENTS OF THE NUMERICAL RADIUS INEQUALITIES VIA YOUNG INEQUALITY

被引：6

作者：

Heydarbeygi, Z. ^{[1
]}

Amyari, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Razavi Khorasan, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期

关键词：

Bounded linear operator; Hilbert space; norm inequality; numerical radius inequality;

D O I：

10.46793/KgJMat2102.191H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we get an improvement of the Holder-McCarthy operator inequality in the case when r >= 1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert space operators.

引用

页码：191 / 202

页数：12

共 19 条

[1]

[Anonymous], 1997, NUMERICAL RANGE

[2] The Mobile App Usability Inspection (MAUi) Framework as a Guide for Minimal Viable Product (MVP) Testing in Lean Development Cycle [J].

Cheng, Lin Chou .

PROCEEDINGS OF CHIUXID 2016: BRIDGING THE GAPS IN THE HCI & UX WORLD, 2016, :1-11

[3] VECTOR INEQUALITIES FOR POWERS OF SOME OPERATORS IN HILBERT SPACES [J].

Dragomir, S. S. .

FILOMAT, 2009, 23 (01) :69-83

[4]

Dragomir S. S., 2016, TRANSYLVANIAN J MATH, V8, P46

[5] Numerical radius inequalities for Hilbert space operators. II [J].

El-Haddad, Mohammad ;

Kittaneh, Fuad .

STUDIA MATHEMATICA, 2007, 182 (02) :133-140

[6] REFINEMENTS OF HOLDER-MCCARTHY INEQUALITY AND YOUNG INEQUALITY [J].

Fujii, Masatoshi ;

Nakamoto, Ritsuo .

ADVANCES IN OPERATOR THEORY, 2016, 1 (02) :184-188

[7]

HOLBROOK JA, 1969, J REINE ANGEW MATH, V237, P166

[8] Operator Jensen inequality for superquadratic functions [J].

Kian, Mohsen .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 456 :82-87

[9] Numerical radius inequalities for Hilbert space operators [J].

Kittaneh, F .

STUDIA MATHEMATICA, 2005, 168 (01) :73-80

[10] A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix [J].

Kittaneh, F .

STUDIA MATHEMATICA, 2003, 158 (01) :11-17

← 1 2 →