Universal approximation by hill functions

Karel Segeth

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 4, page 612-640
  • ISSN: 0011-4642

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Segeth, Karel. "Universal approximation by hill functions." Czechoslovak Mathematical Journal 22.4 (1972): 612-640. <http://eudml.org/doc/12688>.

@article{Segeth1972,
author = {Segeth, Karel},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {612-640},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Universal approximation by hill functions},
url = {http://eudml.org/doc/12688},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Segeth, Karel
TI - Universal approximation by hill functions
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 4
SP - 612
EP - 640
LA - eng
UR - http://eudml.org/doc/12688
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, The finite element method for elliptic differential equations, Numerical solution of partial differential equations II (Proc. of SYNSPADE 1970), Academic Press, New York - London 1971, 69-106. (1970) Zbl0199.50603MR0273836
  3. I. Babuška, 10.1137/0708031, SIAM J. Numer. Anal. 5 (1971), 304-315. (1971) Zbl0232.65080MR0287715DOI10.1137/0708031
  4. I. Babuška J. Segethova K. Segeth, Numerical experiments with finite element method I, Tech. Note BN-669, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, August 1970. (1970) 
  5. W. Feller, An introduction to probability theory and its applications, Vol. 2, Wiley, New York 1966. (1966) Zbl0138.10207MR0210154
  6. G. Fix G. Strang, 10.1002/sapm1969483265, Studies in Appl. Math. 48 (1969), 265-273. (1969) Zbl0179.22501MR0258297DOI10.1002/sapm1969483265
  7. I. M. GeVfand G. E. Silov, Generalized functions, Vol. 1 & 2, Gos. izd. fiz.-mat. lit., Moscow 1958 (Russian). (1958) 
  8. F. Di Guglielmo, 10.1007/BF02576159, Calcolo 6 (1969), 279-331. (1969) Zbl0198.46206MR0433113DOI10.1007/BF02576159
  9. J.-L. Lions E. Magenes, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris 1968. (1968) Zbl0165.10801MR0247243
  10. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  11. J. Segethova, 10.1137/0709018, SIAM J. Numer. Anal., 9 (1972), 199-204. (1972) Zbl0243.65004MR0305552DOI10.1137/0709018
  12. G. Strang, The finite element method and approximation theory, Numerical solution of partial diff'erential equations 11 (Proc. of SYNSPADE 1970), Academic Press, New York- London 1971, 547-583. (1970) Zbl0239.65085MR0287723
  13. G. Strang G. Fix, A Fourier analysis of the finite element variational method, to appear. Zbl0272.65099
  14. K. Yosida, Functional analysis, Academic Press, New York-London 1965. (1965) Zbl0126.11504MR0180824

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