Results 161 to 170 of about 10,663,991 (195)

New estimates for the Berezin number and Berezin norm

This paper intends to establish several inequalities employing the Cartesian decomposition of the operator. We used the results to determine the Berezin number inequalities. Our results extend and improve some earlier inequalities.
Nourbakhsh, S., Hassani, M., Omidvar, M. E., Moradi, H. R.   +3 more
openaire   +1 more source

Berezin number inequalities involving superquadratic functions

2019
Summary: We consider superquadratic functions \(f\) and define selfadjoint operators \(f(A)\) from some selfadjoint operators \(A\) on a reproducing kernel Hilbert space \(\mathcal{H}=\mathcal{H}(Q)\). We estimate the so-called Berezin number of operator \(f(A)\).
Duman, Nazan, GÜRDAL, MEHMET
openaire   +3 more sources

Berezin Number, Grüss-Type Inequalities and Their Applications

Bulletin of the Malaysian Mathematical Sciences Society, 2019
The authors use the usual operator techniques to present some Berezin number inequalities related to the product of two operators as well as the Grüss inequality.
GÜRDAL, Mehmet, YAMANCI, Ulaş, TUNÇ, Remziye   +2 more
openaire   +2 more sources

New estimates for the Berezin number of Hilbert space operators

Georgian Mathematical Journal
In this article, we improve some Berezin number inequalities concerning a Hilbert space. It is shown that if T is a bounded linear operator on a Hilbert space, then for any r ≥ 1 {r\geq 1} , 𝐛𝐞𝐫 2 ⁢ r ( T ) ≤ 1 2 𝐛𝐞𝐫 r ( | T * | 2 ⁢ ( 1 - t ) | T | 2 ⁢ t
Parvaneh Zolfaghari
semanticscholar   +1 more source

NEW UPPER BOUNDS RELATED TO THE BEREZIN NUMBER INEQUALITIES

2021
The Berezin symbol (A) over tilde of an operator A on the reproducing kernel Hilbert space H(Omega) over some set Omega with the reproducing kernel K-lambda is defined ...
GÜRDAL, Mehmet, Basaran, Hamdullah, Huban, Mualla Birgul   +2 more
openaire   +1 more source

Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller, Leticia M Nogueira, Angela B Mariotto   +2 more
exaly  

Berezin Number Inequalities for Sums and Products of Operators and Applications

Lobachevskii Journal of Mathematics
M. Guesba, F. Kıttaneh
semanticscholar   +1 more source

A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {A}$$\end{document}-Berezin Number Inequalities for 2×2\docum

Bulletin of the Malaysian Mathematical Sciences Society
Ali Zamani, Satyajit Sahoo, Ramiz Tapdigoglu, Mubariz Garaev   +3 more
semanticscholar   +1 more source

Refinements of some Berezin number inequalities and related questions

The Journal of Analysis, 2022
U. Yamancı, M. Guesba
semanticscholar   +1 more source

On the Berezin Number of Operators on the Reproducing Kernel of Hilbert Space and Related Problems

Ukrainian Mathematical Journal
U. Yamancı, Ismail M. Karlı
semanticscholar   +1 more source