Results 91 to 100 of about 11,753 (303)

Padé approximants and noise: rational functions

Journal of Computational and Applied Mathematics, 1999
Diagonal Padé approximants of a rational function, which has been perturbed by random noise, are considered. Some nice pictures illustrate how the zeros and poles of the approximants are located.
Gilewicz, Jacek, Pindor, Maciej
openaire   +1 more source

Best rational approximation of functions with logarithmic singularities [PDF]

, 2016
in pressInternational audienceWe consider functions $\omega$ on the unit circle $\mathbb T$ with a finite number of logarithmic singularities. We study the approximation of $\omega$ by rational functions and find an asymptotic formula for the distance in
Pushnitski, Alexander, Yafaev, Dmitri, Yafaev, Dimitri, R, Pushnitski, Alexander; id_orcid   +3 more
core   +1 more source

Floor, ceiling and the space between

Annals of the West University of Timisoara: Mathematics and Computer Science
Motivated by a question on the ranges of the commutators of dilated floor functions in [10], together with a related problem in [3], we investigate the precise ranges of certain generalized polynomials dependent on a real parameter. Our analysis requires
Bényi Árpád, Ćurgus Branko
doaj   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Fractal rational functions and their approximation properties

Journal of Approximation Theory, 2014
An \(\alpha\)-fractal rational function is defined as the image of a rational function under the \(\alpha\)-fractal operator \(\mathcal F^{\alpha}\) (like \(\alpha\)-fractal polynomials from \textit{M. A. Navascués} [Z. Anal. Anwend. 24, No. 2, 401--418 (2005; Zbl 1082.28006)]).
P. Viswanathan, A. K. B. Chand
openaire   +1 more source

Uniform approximation by rational functions having restricted denominators

, 1981
This paper considers approximation of continuous functions on a compact metric space by generalized rational functions for which the denominators have bounded coefficients and are bounded below by a fixed positive function.
Kaufman, E.H., Taylor, G.D.
core   +1 more source

Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source

Direct and converse results for the weighted rational approximation of functions with inner singularities

, 2004
The weighted rational approximation of functions with inner singularities of algebraic type in [-1,1] is investigated.
Della Vecchia, B., DELLA VECCHIA, Biancamaria   +1 more
core   +1 more source

About the rate of rational approximation of some analytic functions

Mathematical Modelling and Analysis, 1998
The article is devoted to results relating to the theory of rational approximation of an analytic function. Let ƒ be an analytic function on the disk {z : |z| < ñ), ñ > 1. The rate of decrease of the best approximations ñn of a function ƒ by the rational
A. YA. Radyno
doaj   +1 more source

Quantifying the Impact of Ocrelizumab on Paramagnetic Rim Lesions in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Paramagnetic rim lesions (PRLs) are a subset of chronic active multiple sclerosis (MS) lesions marked by iron‐laden microglia and macrophages. Ocrelizumab, a monoclonal antibody targeting CD20+ B cells, suppresses acute MS activity, but its effect on PRLs remains unclear. In a longitudinal study of 29 ocrelizumab‐treated patients with at least
Kimberly H. Markowitz, Neha V. Safi, Iliana Pliska‐Bloch, Ulrike W. Kaunzner, Ha Luu, Mert Sisman, Yi Wang, Thanh D. Nguyen, Sandra Hurtado Rúa, Susan A. Gauthier   +9 more
wiley   +1 more source