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)