Convergence of Hermite and Hermite-Fejer interpolation of higher order for Freud weights

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We investigate weighted L-p(0 < p < infinity) convergence of Hermite and Hermite Fejer interpolation polynomials of higher order at the zeros of Freud orthogonal polynomials on the real line. Our results cover as special cases Lagrange, Hermite Fejer and Krylov Stayermann interpolation polynomials. (C) 2001 Academic Press.
Publisher
ACADEMIC PRESS INC
Issue Date
2001-11
Language
English
Article Type
Article
Keywords

PRODUCT INTEGRATION RULES; MEAN CONVERGENCE; LAGRANGE INTERPOLATION; SUFFICIENT CONDITIONS; REAL LINE; ERDOS WEIGHTS; POLYNOMIALS

Citation

JOURNAL OF APPROXIMATION THEORY, v.113, no.1, pp.21 - 58

ISSN
0021-9045
URI
http://hdl.handle.net/10203/82675
Appears in Collection
MA-Journal Papers(저널논문)
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