Sobolev orthogonal polynomials in the complex plane

Journal of Computational and Applied Mathematics

Volumn 127, Issue 1-2, 2001, Pages 219-230

  Lopez Lagomasino G ^a   Pijeira Cabrera, H ^b   Perez Izquierdo I ^c  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b UNIVERSITY OF MATANZAS   (Cuba)

^c UNIVERSITY OF HAVANA   (Cuba)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; POLES AND ZEROS;

ASYMPTOTIC-ZERO DISTRIBUTIONS; SOBOLEV ORTHOGONAL POLYNOMIALS;

POLYNOMIALS;

EID: 0035155454     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00498-2     Document Type: Article

References (10)

1. V. Alvarez, D. Pestana, J.M. Rodríguez, E. Romera, Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, preprint.
2. Blatt H.P., Saff E.B., Simkani M. Jentzsch-Szego type theorems for the zeros of best approximants. J. London Math. Soc. 38:1988;192-204.
3. Borwein P., Erdelyi T. Polynomials and Polynomial Inequalities. Graduate Texts in Mathematics. Vol. 161:1995;Springer, New York.
4. Gautschi W., Kuijlaars A.B.J. Zeros and critical points of Sobolev Orthogonal Polynomials. J. Approx. Theory. 91:1997;117-137.
5. 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.
6. López Lagomasino G., Pijeira Cabrera H. Zero location and. n th-root asymptotics of Sobolev orthogonal polynomials J. Approx. Theory. 99:1999;30-43.
7. A. Martínez Finkelshtein, Bernstein-Szego's theorem for Sobolev orthogonal polynomials, Constr Approx. 16 (2000) 73-84.
8. Milovanović G.V., Mitrinović D.S., Rassias Th.M. Topics in Polynomials: Extremal problems, inequalities, zeros. 1994;World Scientific, Singapore.
9. J.M. Rodríguez, Multiplication operator in Sobolev spaces with respect to measures, preprint.
10. Stahl H., Totik V. General Orthogonal Polynomials. 1992;Cambridge University Press, Cambridge.