An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials
E. B. Saff, A. Sharma, R. S. Varga (1981)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Emil Vitásek (2012)
Applications of Mathematics
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 .
Zapiski naucnych seminarov Leningradskogo
D. Apprato, R. Arcangeli (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
E. Saff, H. Stahl (1995)
Banach Center Publications
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.
Bello Hernández, M., Mínguez Ceniceros, J. (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
R. Bojanić, J. M. Elkins (1975)
Publications de l'Institut Mathématique
R. Bojanic, J.M. Elkins (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
Charles B. Dunham (1974)
Aequationes mathematicae
J.-C. Fiorot, P. Jeannin, S. Taleb (1993)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
R. Smarzewski (1977)
Applicationes Mathematicae
Hans Triebel (1981)
Mathematische Zeitschrift
E. Hairer (1982)
Numerische Mathematik
Martin H. Gutknecht (1989/1990)
Numerische Mathematik
Lipchinskij, A.G. (2005)
Sibirskij Matematicheskij Zhurnal
Stahl, Herbert (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
S.P. Norsett (1975/1976)
Numerische Mathematik
D. Belogus, N. Liron (1978/1979)
Numerische Mathematik
M. Čanak (1986)
Matematički Vesnik
Klaus Bartke (1984)
Numerische Mathematik