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Abstract: . Given an open bounded set G in the complex plane and a weight function W (z) which is analytic and different from zero in G, we consider the problem of locally uniform rational approximation of any function f(z), which is analytic in G, by particular ray sequences of weighted rational functions of the form W m+n (z)Rm;n (z), where Rm;n (z) = Pm (z)=Qn(z); with deg Pm m and deg Qn n: The main result of this paper is a necessary and sufficient condition for such an approximation to be... (Update)
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BibTeX entry: (Update)
@misc{ pritsker-rational,
author = "Igor E. Pritsker and Richard S. Varga",
title = "Rational Approximation With Varying Weights in the Complex Plane",
url = "citeseer.ist.psu.edu/pritsker98rational.html" }
Citations (may not include all citations):66 Interpolation and Approximation by Rational Functions in the.. (context) - Walsh - 1969
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32 Potential Theory in Modern Function Theory (context) - Tsuji - 1959
30 Foundations of Modern Potential Theory (context) - Landkof - 1972
23 Weighted Approximation with Varying Weights (context) - Totik - 1994
14 Analytic Functions (context) - Nevanlinna - 1970
7 Incomplete rational approximation in the complex plane - Borwein, Chen - 1995
6 The role of the endpoint in weighted polynomial approximatio.. (context) - Kuijlaars - 1996
5 Numerische Methoden der Approximationstheorie (context) - Saff - 1978
4 Rational approximation with varying weights (context) - Borwein, Rakhmanov et al. - 1996
4 Weighted polynomial approximation in the complex plane - Pritsker, Varga
3 Approximation by incomplete polynomials (context) - Golitschek - 1980
3 zero distribution and weighted approximation (context) - Pritsker, Varga - 1997
3 Uber eine Eigenschaft der Exponentialreihe (context) - Szego - 1924
2 the zeros and poles of Pad'e approximants to e z : III (context) - Saff, Varga - 1978
[Article contains additional citations not shown here]
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