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Freud's conjecture for exponential weights
Author(s):
D. S.
Lubinsky;
H. N.
Mhaskar;
E. B.
Saff
Journal:
Bull. Amer. Math. Soc.
15
(1986),
217-221.
MSC (1985):
Primary 42C05;
Secondary 33A65, 41A10
MathSciNet review:
854558
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References |
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Additional information
References:
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- D. Bessis, C. Itzykson, and J. B. Zuber, Quantum field theory techniques in graphical enumeration, Adv. in Appl. Math. 1 (1980), 109-157. MR 603127
- 2.
- G. Freud, On the coefficients in the recursion formulae of orthogonal polynomials, Proc. Royal Irish Acad. Sect. A 76 (1976), 1-6. MR 419895
- 3.
- A. Knopfmacher, D. S. Lubinsky, and P. Nevai, Freud's conjecture and approximation of reciprocals of weights by polynomials (manuscript).
- 4.
- D. S. Lubinsky, Gaussian quadrature, weights on the whole real line and even entire functions with nonnegative even order derivatives, J. Approximation Theory (to appear). MR 840397
- 5.
- D. S. Lubinsky, Even entire functions absolutely monotone in [0, ∞) and weights on the whole real line, Orthogonal Polynomials and Their Applications (C. Brezinski et al., eds.), Lecture Notes in Math., Springer-Verlag, Berlin and New York, 1986. MR 838987
- 6.
- D. S. Lubinsky and E. B. Saff, Uniform and mean approximation by certain weighted polynomials, with applications (manuscript).
- 7.
- D. S. Lubinsky, H. N. Mhaskar, and E. B. Saff, A proof of Freud's Conjecture for exponential weights (manuscript).
- 8.
- Al. Magnus, A proof of Freud's Conjecture about orthogonal polynomials related to |x| exp (-x), Orthogonal Polynomials and Their Applications (C. Brezinski et al., eds.) Lecture Notes in Math., Springer-Verlag, Berlin and New York, 1986.
- 9.
- Al. Magnus, On Freud's equations for exponential weights, J. Approximation Theory 46 (1986), 65-99. MR 835728
- 10.
- A. Máté, P. Nevai, and V. Totik, Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle, Constr. Approx. 1 (1985), 63-69. MR 766095
- 11.
- A. Máté, P. Nevai, and T. Zaslavsky, Asymptotic expansion of ratios of coefficients of orthonormal polynomials with exponential weights, Trans. Amer. Math. Soc. 287 (1985), 495-505. MR 768722
- 12.
- H. N. Mhaskar and E. B. Saff, Extremal problems for polynomials with exponential weights, Trans. Amer. Math. Soc. 285 (1984), 203-234. MR 748838
- 13.
- H. N. Mhaskar and E. B. Saff, Weighted polynomials on finite and infinite intervals: A unified approach, Bull. Amer. Math. Soc. (N.S.) 11 (1984), 351-354. MR 752796
- 14.
- H. N. Mhaskar and E. B. Saff, Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials), Constr. Approx. 1 (1985), 71-91. MR 766096
- 15.
- H. N. Mhaskar and E. B. Saff, Where does the L? (manuscript).
- 16.
- P. Nevai, Geza Freud, Christoffel functions and orthogonal polynomials (A case study), J. Approximation Theory (to appear).
- 17.
- D. G. Pettifor and D. L. Weaire (eds.), The recursion method and its applications, Springer Series in Solid State Physics, vol. 58, Springer-Verlag, Berlin and New York, 1984. MR 798478
- 18.
- E. B. Saff, Incomplete and orthogonal polynomials, Approximation Theory IV (C. K. Chui et al., eds.), Academic Press, New York, 1983, pp. 219-256. MR 754347
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15480-7
PII:
S 0273-0979(1986)15480-7
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