Uniform asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights

Acta Mathematica Hungarica

Volumn 85, Issue 1-2, 1999, Pages 97-130

  Vertesi P ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033268189     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006625030000     Document Type: Article

References (12)

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2. V. M. Badkov, Uniform asymptotic representation of orthogonal polynomials, Proc. Steklov Inst. Math., 2 (1985), 5-41.
3. G. Szego, On bi-orthogonal systems of trigonometric polynomials, MTA Matematikai Kutató Int. Közleményei, 8 (1963/64), 255-273.
4. Ya. L. Geronimus, Orthogonal Polynomials, Pergamon Press (1960).
5. G. Freud, Orthogonal Polynomials, Pergamon Press (1971).
6. P. G. Nevai, An asymptotic formula for the derivatives of orthogonal polynomials, SIAM J. Math. Anal., 10 (1979), 472-477.
7. P. Vértesi, One sided convergence conditions for Lagrange interpolation based on Jacobi nodes, Acta Sci. Math. (Szeged), 45 (1983), 419-428.
8. P. Vértesi, On the zeros of Jacobi polynomials, Studia Sci. Math. Hungar., 25 (1990), 401-405.
9. P. Vértesi, Recent results on Hermite-Fejér interpolations of higher order, Israel Math. Conf., Proc., 4 (1991), 267-271.
10. N. Bernstein, On polynomials orthogonal on a finite interval. No.51 in his Collected. Works, Vol.2, pp.7-106, Izd. AN SSSR, 1954 (Russian).
11. J. Szabados and P. Vértesi, Interpolation of Functions, World Scientific Ltd. (Singapore, 1990).
12. V. M. Badkov, Asymptotic and extremal properties of orthogonal polynomials. . ., Proc. Steklov Inst. Math., 1994 (1), 37-82.