Converse results in the Walsh theory of overconvergence

A. S. Cavaretta; A. Jr. Sharma; R. S. Varga

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 4, page 601-609
  • ISSN: 0764-583X

How to cite

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Cavaretta, A. S., Sharma, A. Jr., and Varga, R. S.. "Converse results in the Walsh theory of overconvergence." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.4 (1985): 601-609. <http://eudml.org/doc/193461>.

@article{Cavaretta1985,
author = {Cavaretta, A. S., Sharma, A. Jr., Varga, R. S.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {converse theorem; Walsh overconvergence theory; Lagrange interpolation; Hermite interpolation},
language = {eng},
number = {4},
pages = {601-609},
publisher = {Dunod},
title = {Converse results in the Walsh theory of overconvergence},
url = {http://eudml.org/doc/193461},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Cavaretta, A. S.
AU - Sharma, A. Jr.
AU - Varga, R. S.
TI - Converse results in the Walsh theory of overconvergence
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 4
SP - 601
EP - 609
LA - eng
KW - converse theorem; Walsh overconvergence theory; Lagrange interpolation; Hermite interpolation
UR - http://eudml.org/doc/193461
ER -

References

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  1. [1] A. S. CAVARETTA, Jr., A. SHARMA and R. S. Varga, An extension of a theorem of J. L. Walsh, Resultate der Mathematik 3 (1980), 155-191. Zbl0447.30020MR600999
  2. [2] T. J. RIVLIN, On Walsh equiconvergence, J. Approximation Theory 36 (1982), 334-345. Zbl0504.42016MR682176
  3. [3] E. B. SAFF and R. S. VARGA, A note on the sharpness of J. L. Walsh's Theorem and its extensions for interpolation in the roots of unity, Acta Math. Hung. 43 (1983), 371-377. Zbl0524.30026MR703748
  4. [4] J. SZABADOS, Converse results in the theory of overconvergence of complex inter-polating polynomials, Analysis 2 (1982), 267-280. Zbl0532.30002MR732335
  5. [5] R. S. VARGA, Topics in Polynomial and Rational Interpolation and Approximation, University of Montreal Press, 1982. Zbl0484.30023MR654329
  6. [6] J. L. WALSH, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloquium Publications Volume XX, Providence, RI, fifth edition, 1969. Zbl0146.29902MR218588JFM61.0315.01

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