An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximation
Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique
Asymptotic distribution of poles and zeros of best rational approximants to on [0,1]
Let be the best rational approximant to , 1 > α > 0, on [0,1] in the uniform norm. It is well known that all poles and zeros of lie on the negative axis . In the present paper we investigate the asymptotic distribution of these poles and zeros as n → ∞. In addition we determine the asymptotic distribution of the extreme points of the error function on [0,1], and survey related convergence results.
Asymptotics for extremal polynomials with varying measures.
Bernstein's Constant And Best Approximatioin On [0, ∞)
Bernstein's constant and best approximation on ...0, ...).
Best Discrete Mean Rational Approximation.
B-rational curves and reparametrization : the quadratic case
Characterization of optimal polynomial and rational starting approximations
Complex Interpolation and Fourier Multipliers for the Spaces B.... and F.... of Besov-Hardy-Sobolev Type: The Case 0<p....., 0<q.... .
Constructive Characterization of A-Stable Approximations to exp(z) and Its Connection with Algebraically Stable Runge-Kutta Methods.
Continued Fractions Associated With the Newton-Padé Table.
Convergence conditions for interpolation fractions at the nodes distinct from the singular points of a function.
Convergence of rational interpolants.
C-Polynomials for Rational Approximation to the Exponential Function.
DCR2: An Improved Algorithm for l¶ Rational Approximation on Intervals.
Der Begriff der inversen areolären Ableitung in der Theorie des areolären Kettenbruches
Die Struktur der normalen rationalen Funktionen.