Results 11 to 20 of about 1,088,621 (289)
On monotone Rational Approximation [PDF]
JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2017 In this chapter,we focus on the shape preserving approximation using rational polynomials, for rational in _spaces, . In our work, we solve a problem raised by R. DeVore in several lectures for many years ago.
Bhaya, Eman S., Ahmed, Dhay Basim
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Notices of the American Mathematical SocietyRational approximation has gone through a transformation in recent years with the appearance of algorithms that make computing rational approximations easy. The aim of this short story is not to describe these algorithms, but to show how beautifully they can reveal the power of rational functions and the mathematics of rational approximation.
Trefethen, Lloyd N.
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
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A rational cubic spline with tension [PDF]
, 1989 A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational B-spline forms, and the behaviour of the resulting representations is ...
Gregory, JA, Sarfraz, M
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Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
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Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method
Energies, 2021 This paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational
Mohamed Sahouli, Anestis Dounavis
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Parabolic convergence regions of branched continued fractions of the special form
Karpatsʹkì Matematičnì Publìkacìï, 2021 Using the criterion of convergence of branched continued fractions of the special form with positive elements, effective sufficient criteria of convergence for these fractions are established.
D.I. Bodnar, I.B. Bilanyk
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Rational approximation on spheres [PDF]
Israel Journal of Mathematics, 2015 We quantify the density of rational points in the unit sphere $S^n$, proving analogues of the classical theorems on the embedding of $\q^n$ into $\r^n$. Specifically, we prove a Dirichlet theorem stating that every point $α\in S^n$ is sufficiently approximable, the optimality of this approximation via the existence of badly approximable points, and a ...
Kleinbock, Dmitry, Merrill, Keith
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Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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Yantu gongcheng xuebao, 2021 The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis.
WANG Zhi-yu 1, TANG Zhen-yun 1, 2, DU Xiu-li 1
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