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New generalized numerical radius inequalities for Hilbert space operators

open access: yesJournal of Inequalities and Applications
We define generalized real and imaginary parts of an operator, as well as the generalized w h , g ( ⋅ ) $w_{h,g}(\cdot )$ numerical radius, which reduces to the t-weighted numerical radius for suitable functions h , g $h,g$ .
Fuad Kittaneh, Vuk Stojiljković
doaj   +1 more source

Some weighted operator geometric mean inequalities

open access: yesپژوهش‌های ریاضی, 2017
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean ...
Alemeh Sheikhhosseini   +2 more
doaj  

Numerical Radius and Operator Norm Inequalities

open access: yesJournal of Inequalities and Applications, 2009
A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given. This inequality generalizes several recent inequalities for the numerical radius, and includes that if and are operators on a ...
Albadawi Hussien, Shebrawi Khalid
doaj  

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