Further inequalities for the numerical radius of Hilbert space operators

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

Research output: Contribution to journalArticle

2 Citations (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

All Science Journal Classification (ASJC) codes

  • Analysis

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