Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Further Accurate Numerical Radius Inequalities

Version 1 : Received: 29 April 2023 / Approved: 30 April 2023 / Online: 30 April 2023 (04:19:24 CEST)

A peer-reviewed article of this Preprint also exists.

Qawasmeh, T.; Qazza, A.; Hatamleh, R.; Alomari, M.W.; Saadeh, R. Further Accurate Numerical Radius Inequalities. Axioms 2023, 12, 801. Qawasmeh, T.; Qazza, A.; Hatamleh, R.; Alomari, M.W.; Saadeh, R. Further Accurate Numerical Radius Inequalities. Axioms 2023, 12, 801.

Abstract

In this work, new refinements of some numerical radius inequalities are proved. Namely, new improvements and refinements purify the recent inequalities of some famous inequalities concerning the numerical radius of Hilbert space operators. The proven inequalities in this work are not only an improvement over old inequalities, but rather they are stronger than them. Several examples that support the validity of our results are established as well.

Keywords

Numerical radius; Norm; Inequalities; Hermite-Hadamard inequality

Subject

Computer Science and Mathematics, Analysis

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