Further inequalities for the numerical radius of Hilbert space operators

Sara Tafazoli, Hamid Reza Moradi, Shigeru Furuichi, Panackal Harikrishnan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.

Original languageEnglish
Pages (from-to)955-967
Number of pages13
JournalJournal of Mathematical Inequalities
Volume13
Issue number4
DOIs
Publication statusPublished - 01-01-2019

Fingerprint

Numerical Radius
Hilbert space
Operator
Operator Norm
Convex function
Denote
Generalise

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

Tafazoli, Sara ; Moradi, Hamid Reza ; Furuichi, Shigeru ; Harikrishnan, Panackal. / Further inequalities for the numerical radius of Hilbert space operators. In: Journal of Mathematical Inequalities. 2019 ; Vol. 13, No. 4. pp. 955-967.
@article{94de8bf85e7f43dab4717b1f8bb5c513,
title = "Further inequalities for the numerical radius of Hilbert space operators",
abstract = "In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.",
author = "Sara Tafazoli and Moradi, {Hamid Reza} and Shigeru Furuichi and Panackal Harikrishnan",
year = "2019",
month = "1",
day = "1",
doi = "10.7153/jmi-2019-13-68",
language = "English",
volume = "13",
pages = "955--967",
journal = "Journal of Mathematical Inequalities",
issn = "1846-579X",
publisher = "Element d.o.o.",
number = "4",

}

Further inequalities for the numerical radius of Hilbert space operators. / Tafazoli, Sara; Moradi, Hamid Reza; Furuichi, Shigeru; Harikrishnan, Panackal.

In: Journal of Mathematical Inequalities, Vol. 13, No. 4, 01.01.2019, p. 955-967.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Further inequalities for the numerical radius of Hilbert space operators

AU - Tafazoli, Sara

AU - Moradi, Hamid Reza

AU - Furuichi, Shigeru

AU - Harikrishnan, Panackal

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.

AB - In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.

UR - http://www.scopus.com/inward/record.url?scp=85075949756&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85075949756&partnerID=8YFLogxK

U2 - 10.7153/jmi-2019-13-68

DO - 10.7153/jmi-2019-13-68

M3 - Article

AN - SCOPUS:85075949756

VL - 13

SP - 955

EP - 967

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

SN - 1846-579X

IS - 4

ER -