Hermite-Fejér interpolation with Jacobi weights

G. Mastroianni; J. Szabados

doi:10.1556/sscmath.48.2011.3.1181

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 48: Issue 3

Hermite-Fejér interpolation with Jacobi weights

Authors:

G. Mastroianni

G. Mastroianni Università della Basilicata Dipartimento di Matematica 85100 Potenza Italy

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J. Szabados

J. Szabados Alfréd Rényi Institute of Mathematics P.O.Box 127 H-1364 Budapest Hungary

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Pages:: 408–420

Online Publication Date:: 12 Aug 2011

Publication Date:: 01 Sep 2011

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.48.2011.3.1181

Keywords:: Primary 41A05, 41A25; Hermite-Fejér interpolation; best approximation; Jacobi polynomials

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We consider the weighted Hermite-Fejér interpolation process based on Jacobi nodes for classes of locally continuous functions defined by another Jacobi weight. Necessary and sufficient conditions for the weighted norm boundedness and for the convergence, as well as error estimates of the approximation, are given.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

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András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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