Zero Location and nth Root Asymptotics of Sobolev Orthogonal Polynomials

Journal of Approximation Theory

Volumn 99, Issue 1, 1999, Pages 30-43

  Lopez Lagomasino G ^a   Pijeira Cabrera, H ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344413652     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3318     Document Type: Article

References (6)

1. Blatt H. P., Saff E. B., Simkani M. Jentzsch-Szego type theorems for the zeros of best approximates. J. London Math. Soc. 38:1988;192-204.
2. Gautschi W., Kuijlaars A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. J. Approx. Theory. 91:1997;117-137.
3. Goluzin G. M. Geometric Theory of Functions of a Complex Variable. Transl. of Math. Monographs. 26:1969;Amer. Math. Soc. Providence.
4. López Lagomasino G., Marcellán F., Van Assche W. Relative asymptotics for orthogonal polynomials with respect to a discrete Sobolev inner product. Constr. Approx. 11:1995;107-137.
5. A. Martínez Finkelshtein, Bernstein-Szego's theorem for Sobolev orthogonal polynomials, submitted for publication.
6. Stahl H., Totik V. General Orthogonal Polynomials. 1992;Cambridge Univ. Press, Cambridge.