Improvement of Furuta’s Inequality with Applications to Numerical Radius

Mohammad W. Alomari; Mojtaba Bakherad; Monire Hajmohamadi; Christophe Chesneau; Víctor Leiva; Carlos Martin-Barreiro

doi:10.3390/math11010036

Improvement of Furuta’s Inequality with Applications to Numerical Radius

Mohammad W. Alomari, Mojtaba Bakherad, Monire Hajmohamadi, Christophe Chesneau, Víctor Leiva, Carlos Martin-Barreiro

SCHOOL OF INDUSTRIAL ENGINEERING

Research output: Contribution to journal › Article › peer-review

Abstract

In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.

Original language	English
Article number	36
Journal	Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.3390/math11010036
State	Published - Jan 2023

Keywords

Dragomir extension
Kato inequality
Schwarz inequality
inner product
isometry
linear and bounded operator
normed space
power-mean inequality

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10.3390/math11010036

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title = "Improvement of Furuta{\textquoteright}s Inequality with Applications to Numerical Radius",

abstract = "In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta{\textquoteright}s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.",

keywords = "Dragomir extension, Kato inequality, Schwarz inequality, inner product, isometry, linear and bounded operator, normed space, power-mean inequality",

author = "Alomari, {Mohammad W.} and Mojtaba Bakherad and Monire Hajmohamadi and Christophe Chesneau and V{\'i}ctor Leiva and Carlos Martin-Barreiro",

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AU - Chesneau, Christophe

AU - Leiva, Víctor

AU - Martin-Barreiro, Carlos

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N2 - In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.

AB - In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.

KW - Dragomir extension

KW - Kato inequality

KW - Schwarz inequality

KW - inner product

KW - isometry

KW - linear and bounded operator

KW - normed space

KW - power-mean inequality

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Improvement of Furuta’s Inequality with Applications to Numerical Radius

Abstract

Keywords

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