Universal approximation by systems of hill functions

Karel Segeth

Aplikace matematiky (1974)

  • Volume: 19, Issue: 6, page 403-436
  • ISSN: 0862-7940

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Segeth, Karel. "Universal approximation by systems of hill functions." Aplikace matematiky 19.6 (1974): 403-436. <http://eudml.org/doc/14888>.

@article{Segeth1974,
author = {Segeth, Karel},
journal = {Aplikace matematiky},
language = {eng},
number = {6},
pages = {403-436},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Universal approximation by systems of hill functions},
url = {http://eudml.org/doc/14888},
volume = {19},
year = {1974},
}

TY - JOUR
AU - Segeth, Karel
TI - Universal approximation by systems of hill functions
JO - Aplikace matematiky
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 6
SP - 403
EP - 436
LA - eng
UR - http://eudml.org/doc/14888
ER -

References

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  1. I. Babuška, Approximation by hill functions, Comment. Math. Univ. Carolinae 11 (1970), 787-811. (1970) Zbl0215.46404MR0292309
  2. I. Babuška, 10.1137/0708031, SIAM J. Numer. Anal. 8 (1971), 304-315. (1971) Zbl0232.65080MR0287715DOI10.1137/0708031
  3. I. Babuška J. Segethová K. Segeth, Numerical experiments with the finite element method I, Tech. Note BN-669, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, August 1970. (1970) 
  4. G. Fix G. Strang, Fourier analysis of the finite element method in Ritz-Galerkin theory, Studies in Appl. Math. 48 (1969), 265-273. (1969) Zbl0179.22501MR0258297
  5. J. L. Lions E. Magenes, Problèmes aux limites non homogènes et applications, Vol. 1. Dunod, Paris 1968. (1968) Zbl0165.10801MR0247243
  6. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  7. K. Segeth, Universal approximation by hill functions, Czechoslovak Math. J. 22 (1972), 612-640. (1972) Zbl0247.41011MR0310502
  8. K. Segeth, A remark on a class of universal hill functions, Acta Univ. Carolinae-Math. et Phys. 15 (1974), No. 1 - 2, to appear. (1974) Zbl0305.41011MR0390598
  9. G. Strang G. J. Fix, An analysis of the finite element method, Prentice-Hall, Englewood Cliffs, N. J. 1973. (1973) Zbl0356.65096MR0443377
  10. K. Yosida, Functional analysis, Academic Press, New York-London 1965. (1965) Zbl0126.11504MR0180824

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