Results 61 to 70 of about 12,311,211 (322)

Bernstein polynomial and discontinuous functions

Journal of Mathematical Analysis and Applications, 2014
Abstract We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on [ 0 , 1 ] which can be used to derive known results for continuous functions and functions of bounded variation.
Jorge Bustamante, Miguel A. García-Muñoz, José M. Quesada   +2 more
openaire   +1 more source

Response of an Infant With Presumed Multiple Acyl‐CoA Dehydrogenase Deficiency (MADD) to Ketone Supplementation

American Journal of Medical Genetics Part A, EarlyView.
ABSTRACT Multiple Acyl‐CoA Dehydrogenase Deficiency (MADD) is an autosomal recessive inborn error of metabolism caused by biallelic pathogenic variants in one of three known genes: ETFA, ETFB, and ETFDH. It can cause multisystem dysfunction, including cardiomyopathy in severe cases.
Yutaka Furuta, Kaitlyn N. Bloom, Jerry Vockley, Angela R. Grochowsky, Neena S. Agrawal, Ellen W. Strickler, Natalie N. Owen, Erica T. Gray, B. Lakshitha A. Perera, Eric R. Gamazon, Lynette C. Rives, Hua‐Chang Chen, Qi Liu, Rizwan Hamid, Joy D. Cogan, John A. Phillips III, Thomas A. Cassini, Bryce A. Schuler   +17 more
wiley   +1 more source

On the Derivatives of Bernstein Polynomials: An Application for the Solution of High Even-Order Differential Equations

Boundary Value Problems, 2011
A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a
Bhrawy AH, Saker MA, Doha EH
doaj  

Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators

Journal of Inequalities and Applications, 2016
This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang, Arif Rafiq, Ana-Maria Acu, Faisal Ali, Young Chel Kwun   +4 more
doaj   +1 more source

Bernstein-type characterization of entire functions

Reports of the National Academy of Sciences of Ukraine, 2023
Let ε be the set of all entire functions on the complex plane C. Let us consider the class XE of all complex Banach spaces X such that X ⊇ ε . For (X, ⎥⎥ ⋅ ⎥⎥)∈XE and g ∈X we write En, X (g ) = inf {⎥⎥ g − p⎥⎥: p∈Πn }, where Πn is the set of all polynomials with degree at most n.
O.A. Dovgoshey, J. Prestin, I.O. Shevchuk   +2 more
openaire   +2 more sources

Bernstein–von Mises theorems for statistical inverse problems I: Schrödinger equation [PDF]

Journal of the European Mathematical Society (Print), 2017
The inverse problem of determining the unknown potential $f>0$ in the partial differential equation $$\frac{\Delta}{2} u - fu =0 \text{ on } \mathcal O ~~\text{s.t.
Richard Nickl
semanticscholar   +1 more source

Multimodal Image Guidance in Subthalamic Deep Brain Stimulation for Parkinson's Disease

Annals of Neurology, EarlyView.
Objective Accurate electrode placement and individual stimulation parameters influence the outcomes of subthalamic deep brain stimulation in Parkinson's disease. Neuroimaging‐based models can help evaluate how electrode placement impacts improvement, aiming to reduce the burden of programming.
Patricia Zvarova, Christina van der Linden, Ningfei Li, Konstantin Butenko, Thea Berger, Garance M. Meyer, Ilkem Aysu Sahin, Lukas L. Goede, Bahne H. Bahners, Barbara Hollunder, Till A. Dembek, Andrew R. Pines, Martin Reich, Jens Volkmann, Vincent J. J. Odekerken, Rob M. A. de Bie, Xin Xu, Zhipei Ling, Chen Yao, Andrea A. Kühn, Surjo R. Soekadar, Kerstin Ritter, Michael T. Barbe, Veerle Visser‐Vandewalle, Michael D. Fox, Jan Niklas Petry‐Schmelzer, Nanditha Rajamani, Andreas Horn   +27 more
wiley   +1 more source

A Numerical Method for Simulating Viscoelastic Plates Based on Fractional Order Model

Fractal and Fractional, 2022
In this study, an efficacious method for solving viscoelastic dynamic plates in the time domain is proposed for the first time. The differential operator matrices of different orders of Bernstein polynomials algorithm are adopted to approximate the ...
Suhua Jin, Jiaquan Xie, Jingguo Qu, Yiming Chen   +3 more
doaj   +1 more source

Bernstein-type approximations of smooth functions

Statistica, 2005
Statistica; Vol 65, No 2 (2005); 169 ...
openaire   +3 more sources

The Bernstein Function: A Unifying Framework of Nonconvex Penalization in Sparse Estimation [PDF]

, 2013
In this paper we study nonconvex penalization using Bernstein functions. Since the Bernstein function is concave and nonsmooth at the origin, it can induce a class of nonconvex functions for high-dimensional sparse estimation problems.
Zhang, Zhihua
core