Hermite-Fejér interpolation with Jacobi weights-Reference-Cited by-同舟云学术

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Hermite-Fejér interpolation with Jacobi weights

Published:2011-09-01 Issue:3 Volume:48 Page:408-420
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Mastroianni G.¹,Szabados J.²

Affiliation:

1. 1 Università della Basilicata Dipartimento di Matematica 85100 Potenza Italy

2. 2 Alfréd Rényi Institute of Mathematics P.O.Box 127 H-1364 Budapest Hungary

Abstract

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.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.48.2011.3.1181

Reference8 articles.

1. Ditzian, Z. and Totik, V., Moduli of Smoothness, Springer Verlag (1987). MR89h:41002

2. Fejér, L., Über Interpolation, Göttinger Nachrichten (1916), 66–91.

3. Interpolation in spaces of weighted maximum norm;Háy B.;Studia Sci. Math. Hungar.,1979

4. ϱ(w)-normal point systems;Horváth Á. P. P.;Acta Math. Hungar.,1999

5. Mastroianni, G. and Milovanović, G., Interpolation Processes, Basic Theory and Applications, Springer Verlag (2008). MR2009i:41001

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