20–24 May 2024
Baia Mare, Technical University of Cluj-Napoca
Europe/Bucharest timezone

On some inequalities related to linear and bounded operators

20 May 2024, 16:45
15m
A2 (Baia Mare, Technical University of Cluj-Napoca)

A2

Baia Mare, Technical University of Cluj-Napoca

Mathematics Mathematics

Speaker

Miruna-Daniela Rosu (Universitatea Transilvania din Brașov)

Description

Abstract
The starting point of this paper is the central results of the article by Al-Dolat and Jaradat, “A refinement of the Cauchy-Schwarz inequality accompanied by new numerical radius upper bounds”. The purpose of this paper was to generalize the results obtained by them and to obtain an improvement of those inequalities. This aspect is concretely presented based on an example. An improvement of the inequality of means was used in the proofs, which led to some better results for inequalities on certain powers of numerical radius of some operators.
Keywords: linear operator, bounded operator, numerical radius, inner product, norm, inequality

Primary author

Miruna-Daniela Rosu (Universitatea Transilvania din Brașov)

Co-author

Dr Nicușor Minculete (Universitatea Transilvania din Brașov)

Presentation materials

Proceedings

Paper

Slides