Sur une formule de quadrature pour des fonctions entières

P. Olivier; Q. I. Rahman

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 3, page 517-537
  • ISSN: 0764-583X

How to cite

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Olivier, P., and Rahman, Q. I.. "Sur une formule de quadrature pour des fonctions entières." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.3 (1986): 517-537. <http://eudml.org/doc/193489>.

@article{Olivier1986,
author = {Olivier, P., Rahman, Q. I.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {entire function of exponential type},
language = {fre},
number = {3},
pages = {517-537},
publisher = {Dunod},
title = {Sur une formule de quadrature pour des fonctions entières},
url = {http://eudml.org/doc/193489},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Olivier, P.
AU - Rahman, Q. I.
TI - Sur une formule de quadrature pour des fonctions entières
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 3
SP - 517
EP - 537
LA - fre
KW - entire function of exponential type
UR - http://eudml.org/doc/193489
ER -

References

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  1. [1] R P BOASi, Jr, Entire functions, Academic Press, New York, 1954 Zbl0058.30201MR68627
  2. [2] R P BOAS, Summation formulas and band-limited signals, Tôhoku Math J 24 (1972), 121-125 Zbl0238.42009MR330915
  3. [3] C FRAPPIER et Q I RAHMAN, Une formule de quadrature pour les fonctions entières de type exponentiel, Les Annales des Sciences Mathématiques du Québec 10 (1986), Zbl0589.30024MR841119
  4. [4] R GERVAIS et Q I RAHMAN, An extension of Carlson's theorem for entire functions of exponential type, Trans Amer Math Soc 235 (1978), 387-394 Zbl0373.30025MR460633
  5. [5] R GERVAIS, Q I RAHMAN et G SCHMEISSER, Approximation by (0, 2)-interpolating entire functions of exponential type, J Math Anal Appl 28 (1981), 184-199 Zbl0469.30027MR626748
  6. [6] R GERVAIS, Representation and approximation of functions via (0, 2)-interpolation,J Approximation Theory (a paraître) Zbl0614.41001
  7. [7] Ch HERMITE, Sur la formule d'interpolation de Lagrange, J fur die reine und angewandte Math , 84 (1978), 70-79 Zbl09.0312.02JFM09.0312.02
  8. [8] L HORMANDER, Some inequalities for functions of exponential type, Math Scand 3 (1955), 21-27 Zbl0065.30302MR72210
  9. [9] R KRESS, On the general Hermite cardinal interpolation Math Comp 26 (1972),925-933 Zbl0264.30037MR320586
  10. [10] G SZEGO, Orthogonal polynomials, Amer Math Soc Colloquium Publications, vol XXIII, Troisième édition, Amer Math Soc , Providence, Rhodelsland, 1967 MR310533JFM65.0278.03
  11. [11] E C TITCHMARSH, Introduction to the theory of Fourier integrals, Deuxième édition, Oxford University Press, Londres, 1948 JFM63.0367.05
  12. [12] P TURAN, On the theory of the mechanical quadrature, Acta Scientiarum Mathematicarum 12 (1950), 30-37 Zbl0041.44417MR36797

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