Weighted polynomial approximation in the complex plane

Constructive Approximation

Volumn 14, Issue 4, 1998, Pages 475-492

  Pritsker, I E ^a   Varga, R S ^a  

^a KENT STATE UNIVERSITY   (United States)

Author keywords

Balayage; Logarithmic potential; Modified Robin constant; Weighted energy problem; Weighted polynomials

Indexed keywords

EID: 0032347372     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900086     Document Type: Article

References (13)

1. P. B. BORWEIN, W. CHEN (1995): Incomplete rational approximation in the complex plane. Constr. Approx., 11:85-106.
2. P. B. BORWEIN, E. A. RAKHMANOV, E. B. SAFF (1996): Rational approximation with varying weights 1. Constr. Approx., 12:223-240.
3. M. V. GOLITSCHEK (1980): Approximation by incomplete polynomials. J. Approx. Theory, 28:155-160.
4. A. B. J. KUIJLAARS (1996): The role of the endpoint in weighted polynomial approximation with varying weights. Constr. Approx., 12:287-301.
5. N. S. LANDKOF (1972): Foundations of Modern Potential Theory. Berlin: Springer-Verlag.
6. G. G. LORENTZ (1977): Approximation by incomplete polynomials (Problems and Results). In: Padé and Rational Approximations: Theory and Applications (E. B. Saff, R. S. Varga, eds.). New York: Academic Press, pp. 289-302.
7. R. NEVANLINNA (1970): Analytic Functions. New York: Springer-Verlag.
8. I. E. PRITSKER, R. S. VARGA (to appear): The Szego curve, zero distribution and weighted approximation. Trans. Amer. Math. Soc.
9. E. B. SAFF, V. TOTIK (1997): Logarithmic Potentials with External Fields. Heidelberg: Springer-Verlag.
10. E. B. SAFF, R. S. VARGA (1978): On incomplete polynomials. In: Numerische Methoden der Approximationstheorie (L. Collatz, G. Meinardus, H. Werner, eds.). ISNM, vol. 42. Basel: Birkhäuser-Verlag, pp. 281-298.
11. V. TOTIK (1994): Weighted Approximation with Varying Weights. Lecture Notes in Mathematics, vol. 1569. Heidelberg: Springer-Verlag.
12. M. TSUJI (1959): Potential Theory in Modern Function Theory. Tokyo: Maruzen.
13. J. L. WALSH (1969): Interpolation and Approximation by Rational Functions in the Complex Domain. Colloquium Publications, vol. 20. Providence, R1: American Mathematical Society.