Results 51 to 60 of about 316,005 (140)
On the convexity of Berezin range and Berezin radius inequalities via a class of seminorms
Bulletin des Sciences MathématiquesThis paper introduces a new family of semi-norms, say $σ_μ$-Berezin norm on the space of all bounded linear operators $B(\mathcal{H})$ defined on a reproducing kernel Hilbert space $\mathcal{H}$, namely, for each $μ\in [0,1]$ and $p\geq 1$, $$\|T\|_{σ_μ\text{-ber}}= \sup_{λ\inΩ}\left\lbrace \left(|\langle T\hat{k}_λ,\hat{k}_λ\rangle |^p~ σ_μ~ \|T\hat{k}
Athul Augustine +3 more
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Endocrinology, Diabetes &Metabolism, Volume 8, Issue 5, September 2025.Machine learning models demonstrate high diagnostic accuracy for predicting heart failure in patients with type 2 diabetes, outperforming traditional risk models. Their ability to integrate diverse clinical data highlights their potential for early detection and risk stratification in clinical practice.
Pooya Eini +3 more
wiley +1 more source
Geophysical Research Letters, Volume 52, Issue 16, 28 August 2025.Abstract Satellite‐based estimates of fossil fuel carbon dioxide (FFCO2) emissions are crucial for global stocktaking but are limited by sparse coverage. As nitrogen dioxide (NO2) observations can enhance CO2 emission estimates, we use NO2 observations from twin polar‐orbiting satellites (GaoFen‐5B and DaQi‐1) to constrain carbon emission estimates ...
Tianyi Xu, Chengxin Zhang, Cheng Liu
wiley +1 more source
Berezin Number Inequalities via Convex Functions
, 2023 © 2022, University of Nis. All rights reserved.The Berezin symbol à of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel kξ is defined by (Formula presented) The Berezin number of an operator A is ...
GÜRDAL, Mehmet +2 more
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Food Science &Nutrition, Volume 13, Issue 6, June 2025.In this study, lemongrass essential oil (LGEO) nanoemulsions were successfully developed using soy lecithin and ultrasonication, optimizing stability and bioactivity. Grape seed oil (GSO) and Tween 80 were then integrated to enhance the nanoemulsion properties, achieving a balance between encapsulation efficiency and particle size.
Mahsa Nouraddini +2 more
wiley +1 more source
On the norm of the weighted Berezin transform
, 2017 We consider a weighted Berezin transform: $$ B_α : L^{\infty} (\mathbb{B}^n) \to \ \mathcal{B},\quad α>-1,$$ defined, for $f \in L^{\infty} \left( \mathbb{B}^n \right)$ and $z \in \mathbb{B}^n$, by $$(B_αf) (z) = c_α\int_{\mathbb{B}^n} \frac{\left( 1-|z|^2 \right)^{n+1}}{|1 - \langle z, w \rangle|^{2n+2}} f(w) \left( 1-|w|^2 \right)^α\ d v(w ...
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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
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Predictive value of serum irisin for chronic heart failure in patients with type 2 diabetes mellitus. [PDF]
Mol Biomed, 2022 Berezin AA +3 more
europepmc +1 more source
m-Berezin transform and compact operators
, 2006 m-Berezin transforms are introduced for bounded operators on the Bergman space of the unit ball. The norm of the m-Berezin transform as a linear operator from the space of bounded operators to L8 is found.
Zhong, Changyong +2 more
core
Implementation of a Service-Learning Project Focused on Handwashing and Vaccinations Within an Undergraduate Microbiology Laboratory Course. [PDF]
Front Microbiol, 2021 Potter BA.
europepmc +1 more source