Results 31 to 40 of about 1,088,621 (289)
Structured Low-rank Approximation as a Rational Function Minimization [PDF]
Many problems of system identification, model reduction and signal processing can be posed and solved as a structured low-rank approximation problem (SLRA).
Markovsky, Ivan, Usevich, Konstantin
core +1 more source
On the rational approximation to Thue–Morse rational numbers
Let b \ge 2 and \ell \ge 1 be integers. We establish that there is an absolute real number K
Bugeaud, Yann, Han, Guo-Niu
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On rational approximation to | x |
Let \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $
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Rational Approximation on Exponential Meshes [PDF]
Error estimates of pointwise approximation, that are not possible by polynomials, are obtained by simple rational operators based on exponential-type meshes, improving previous results. Rational curves deduced from such operators are analyzed by Discrete Fourier Transform and a CAGD modeling technique for Shepard-type curves by truncated DFT and the ...
Umberto Amato, Biancamaria Della Vecchia
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New Lower Bound for the Generalized Elliptic Integral of the First Kind
In this paper, we obtain a new simple rational approximation for Ka(r): the inequality 2Ka(r)/π>g2r′/g1r′ holds for all r∈(0,1), where Ka(r) is the generalized elliptic integral of the first kind, r′=1−r2, g1r′ and g2r′ are specific primary and quadratic
Ling Zhu
doaj +1 more source
ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann +8 more
wiley +1 more source
Algebraic Solution of Tropical Best Approximation Problems
We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
doaj +1 more source
Let \(\pi_m\) denote the class of all real polynomials of degree at most \(m\) and \(\pi_{m,n}\) denote the collection of all rational functions \(r_{m,n}(x)=\frac{p(x)}{q(x)}, p\in\pi_m, q\in\pi_n\). Let \(\lambda_{m,n}\equiv\lambda_{m,n}(f^{-1})=\inf_{r_{m,n}\in\pi_{m,n}}\left\|\frac1{f(x)}-\gamma_{m,n}(x)\right\|_{l_{\infty}[0,\infty]}\) where \(f\),
Erdös, Paul +2 more
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ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
wiley +1 more source
Shape preserving piecewise rational interpolation [PDF]
An explicit representation of a C1 piecewise rational cubic function is developed which can be used to solve the problem of shape preserving interpolation.
Gregory, JA, Delbourgo, R
core +6 more sources

