Partially one-sided polynomial approxi- mation on the real line

József Szabados; G. Mastroianni

doi:10.1556/sscmath.38.2001.1-4.23

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 38: Issue 1-4

Partially one-sided polynomial approxi- mation on the real line

Authors:

József Szabados

József Szabados Alfréd Rényi Institute Of Mathematics H-1364 Budapest, P.O.B. 127

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G. Mastroianni

G. Mastroianni Dipartimento di Matematica, Universitá della Basilicata Localitá Macchia, Romana, I-85100 Potenza Italy

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Pages:: 313–329

Online Publication Date:: 22 Jul 2005

Publication Date:: 01 May 2001

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.38.2001.1-4.23

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We generalize a theorem of Freud and Szabados [3] on one-sided polynomial approxi- mation in five different directions: we allow functions with exponential growth at infinity, Lp-metric, Freud-type weights instead of Hermite weights, functions with bounded deriva- tives instead of bounded variation, and include the momentum in the error estimate.

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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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