Mathematica Pannonica
Volume/Issue:
Volume 28_NS2: Issue 2
Polynomial Interpolation on Sequences
Authors:
Francesc Tugores Department of Mathematics, University of Vigo, Ourense, Spain

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Laia Tugores Department of Mathematics, University of Vigo, Ourense, Spain

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Pages:
102–108
Online Publication Date:
31 May 2022
Publication Date:
29 Sep 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/314.2022.00013
Keywords:
polynomial interpolation; Lipschitz condition; contractive sequence
Open access

This short note deals with polynomial interpolation of complex numbers verifying a Lipschitz condition, performed on consecutive points of a given sequence in the plane. We are interested in those sequences which provide a bound of the error at the first uninterpolated point, depending only on its distance to the last interpolated one.

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    Burden, R. L., and Faires, J. D. Numerical Analysis. PWS, Boston, 2010.

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    Carleson, L. An interpolation problem for bounded analytic functions. Am. J. Math. 80 (1958), 921–930.

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    Garnett, J. B. Bounded analytic functions, revised 1st ed. Grad. Texts Math. New York, NY: Springer, 2006.

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    Jones, P. W. L∞ estimates for the ∂ ¯ problem in a half-plane. Acta Math. 150 (1983), 137–152.

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    Kotochigov, A. Free interpolation in the spaces of analytic functions with derivative of order s from the Hardy space. J. Math. Sci. (N.Y.) 129, 4 (2005), 4022–4039.

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  • [6]

    Kronstadt, E. Interpolating sequences for functions satisfying a Lipschitz condition. Pac. J. Math. 63, 1 (1976), 169–177.

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Cover Mathematica Pannonica
Mathematica Pannonica
Print ISSN:
0865-2090
Online ISSN:
2786-0752

Editor in Chief: László TÓTH, University of Pécs, Pécs, Hungary

Honorary Editors in Chief:

  • János PINTZ, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • † Ferenc SCHIPP, Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary
  • Sándor SZABÓ, University of Pécs, Pécs, Hungary
     

Deputy Editors in Chief:

  • Erhard AICHINGER, JKU Linz, Linz, Austria
  • Ferenc HARTUNG, University of Pannonia, Veszprém, Hungary
  • Ferenc WEISZ, Eötvös Loránd University, Budapest, Hungary

Editorial Board

  • Attila BÉRCZES, University of Debrecen, Debrecen, Hungary
  • István BERKES, Rényi Institute of Mathematics, Budapest, Hungary
  • Károly BEZDEK, University of Calgary, Calgary, Canada
  • György DÓSA, University of Pannonia, Veszprém, Hungary
  • Balázs KIRÁLY – Managing Editor, University of Pécs, Pécs, Hungary
  • Vedran KRCADINAC, University of Zagreb, Zagreb, Croatia 
  • Željka MILIN ŠIPUŠ, University of Zagreb, Zagreb, Croatia
  • Gábor NYUL, University of Debrecen, Debrecen, Hungary
  • Margit PAP, University of Pécs, Pécs, Hungary
  • István PINK, University of Debrecen, Debrecen, Hungary
  • Mihály PITUK, University of Pannonia, Veszprém, Hungary
  • Lukas SPIEGELHOFER, Montanuniversität Leoben, Leoben, Austria
  • Andrea ŠVOB, University of Rijeka, Rijeka, Croatia
  • Csaba SZÁNTÓ, Babeş-Bolyai University, Cluj-Napoca, Romania
  • Jörg THUSWALDNER, Montanuniversität Leoben, Leoben, Austria
  • Zsolt TUZA, University of Pannonia, Veszprém, Hungary

Advisory Board

  • Szilárd RÉVÉSZ – Chair, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • Gabriella BÖHM
  • György GÁT, University of Debrecen, Debrecen, Hungary

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

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Mathematica Pannonica
Language English
Size A4
Year of
Foundation		 1990
Volumes
per Year		 1
Issues
per Year		 2
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
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ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)

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