Freud's conjecture and approximation of reciprocals of weights by polynomials

Constructive Approximation

Volumn 4, Issue 1, 1988, Pages 9-20

  Knopfmacher, Arnold ^a   Lubinsky, D S ^b   Nevai, P ^c  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^b DSI CSIR Nanotechnology Innovation Centre   (South Africa)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

AMS classification: 42C05; Freud's conjecture; Leading coefficients; Orthogonal polynomials; Recurrence relation coefficients; Weighted polynomial approximation

Indexed keywords

EID: 0040198900     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/BF02075446     Document Type: Article

References (18)

1. On the coefficients in the recursion formulae of orthogonal polynomials
2. On the asymptotics of the ratio of orthogonal polynomials and convergence of multi-point Padé approximations
3. Variation on a Theme of Mhaskar, Rahmanov, and Saff, or “Sharp” Weighted Polynomial Inequalities in Lp(R)
4. Uniform and mean approximation by certain weighted polynomials, with applications
5. Freud's conjecture for exponential weights
6. A proof of Freud's conjecture for exponential weights
7. A proof of Freud's conjecture about orthogonal polynomials related to ¦x¦fexp(-x2 m)
8. On Freud's equations for exponential weights
9. Asymptotics for the ratio of leading coefficients of orthogonal polynomials on the unit circle
10. Extremal problems for polynomials with exponential weights
11. Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
12. Orthogonal polynomials
13. Geza Freud, orthogonal polynomials, and Christoffel functions
14. On the asymptotics of the ratio of orthogonal polynomials, II
15. Incomplete and orthogonal polynomials