Results 21 to 30 of about 10,663,991 (195)

An extension of the Euclidean Berezin number

Filomat, 2023
The Berezin transform ? of an operator A, acting on the reproducing kernel Hilbert space H = H(?) over some (non-empty) set ?, is defined by ?(?) = ?A?k?,?k?? (? ? ?), where ?k? = k?/?k?? is the normalized reproducing kernel of H.
Nooshin Eslami Mahdiabadi, Mojtaba Bakherad   +1 more
semanticscholar   +2 more sources

Some inequality and Berezin number type inequalities

Journal of Nonlinear Sciences and Applications
In this paper, we establish upper bounds that both extend and enhance known inequalities for the Berezin number of bounded linear operators and product of operators.
Mehmet G¨urdal, V. Stojiljkovi´c
semanticscholar   +2 more sources

Further results on Berezin number inequalities and related problems

Filomat, 2023
In this article, we obtain certain Berezin number inequalities which extend certain earlier existing results in the literature. Also, we give some reverse Berezin number inequalities for normal operators on reproducing kernel Hilbert spaces. Moreover,
Satyajit Sahoo, U. Yamancı
semanticscholar   +2 more sources

Refined Berezin number inequalities via superquadratic and convex functions

Filomat, 2023
In this paper, we generalize and refine some Berezin number inequalities for Hilbert space operators. Namely, we refine the Hermite-Hadamard inequality and some other recent results by using the concept of superquadraticity and convexity.
Fengsheng Chien, M. Bakherad, M. Alomari
semanticscholar   +2 more sources

Some novel inequalities for Berezin number of operators

Operators and Matrices
. In this paper, some Berezin number inequalities of bounded linear operators de fi ned on a reproducing kernel Hilbert space are developed which generalize and re fi ne the earlier related inequalities. Some applications of the newly obtained inequalities
U. Yamancı, M. Guesba, D. Uslu
semanticscholar   +2 more sources

Quantitative Mapping of Fibrotic Tissue Mechanics via Brillouin Spectroscopy. [PDF]

J Biophotonics
Brillouin spectroscopy distinguishes fibrotic from healthy tissue based on localized stiffness changes and enables real‐time monitoring of dynamic alterations in viscoelastic properties during fibrogenesis.ABSTRACTFibrosis is a pathological scarring process that disrupts tissue architecture, and is characterized by excessive extracellular matrix (ECM ...
Cheburkanov V, Jung S, Berezin MY, Yakovlev VV.   +3 more
europepmc   +2 more sources

Inequalities involving Berezin number and $ \alpha $-Berezin norm

Discrete and Continuous Dynamical Systems - S
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fugen Gao, Mengyu Hou
semanticscholar   +2 more sources

A-BEREZIN NUMBER OF OPERATORS

Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2022
Summary: We introduce the notions \((A,r)\)-adjoint of operators and \(A\) Berezin number of operators on the reproducing kernel Hilbert space and prove some inequalities for \(A\)-Berezin number of operators. Some other related questions are also discussed.
GÜRDAL, Mehmet, Basaran, Hamdullah
openaire   +4 more sources

A Generalized Norm on Reproducing Kernel Hilbert Spaces and Its Applications

Axioms, 2023
The aim of this article was to provide improved estimates for the (α,β)-norm of a bounded linear operator. In particular, our results enabled the determination of new upper bounds involving both the Berezin number and the Berezin norm of bounded linear ...
Najla Altwaijry, Kais Feki, Nicuşor Minculete   +2 more
doaj   +1 more source

More Correct Berezin Symbol Inequalities

Dera Natung Government College Research Journal, 2023
The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality.
Hamdullah Başaran, Mehmet Gurdal
doaj   +1 more source