Optimal discrete approximation of continuous linear operators applicable to control problems

Antonín Tuzar

Kybernetika (1985)

  • Volume: 21, Issue: 4, page 287-297
  • ISSN: 0023-5954

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Tuzar, Antonín. "Optimal discrete approximation of continuous linear operators applicable to control problems." Kybernetika 21.4 (1985): 287-297. <http://eudml.org/doc/28610>.

@article{Tuzar1985,
author = {Tuzar, Antonín},
journal = {Kybernetika},
keywords = {optimal discrete approximation; cardinal spline-functions; approximation of derivatives},
language = {eng},
number = {4},
pages = {287-297},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal discrete approximation of continuous linear operators applicable to control problems},
url = {http://eudml.org/doc/28610},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Tuzar, Antonín
TI - Optimal discrete approximation of continuous linear operators applicable to control problems
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 4
SP - 287
EP - 297
LA - eng
KW - optimal discrete approximation; cardinal spline-functions; approximation of derivatives
UR - http://eudml.org/doc/28610
ER -

References

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  5. A. S. B. Holland, B. N. Sahnery, The General Problem of Approximation and Spline Functions, Krieger Publishing Co., Huntington, N. Y. 1979. (1979) MR0547353
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  7. P. J. Laurent, Approximation et optimisation, Hermann, Paris 1972. (1972) Zbl0238.90058MR0467080
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  10. M. J. D. Powell, Approximation Theory and Methods, Cambridge University Press, Cambridge 1981. (1981) Zbl0453.41001MR0604014
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  13. I. J. Schoenberg, Spline interpolation and best quadrature formulae, Bull. Amer. Math. Soc. 70 (1964), 143-148. (1964) Zbl0136.36202MR0157157
  14. C. Л. Coбoлeв И. Бaбyшкa, Оптимизация численных методов, Aplikace matematiky 10 (1965), 2, 96-129. (1965) MR0191072
  15. C. Л. Coбoлeв, Введение в теорию кубатурных формул, Hayкa, Mocквa 1974. (1974) 
  16. J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Springer-Verlag, Berlin-Heidelberg-New York 1980. (1980) Zbl0553.65004MR0557543
  17. A. Tuzar, Optimal Approximation of Linear Functionals in Hilbert Space with Applications to Numerical Methods, Research Report No. 988, ÚTIA ČSAV, 1979. (1979) 
  18. A. Tuzar, Z. Beran, Optimization of the discrete description for continuous systems, Problems Control Inform. Theory 10 (1981), 2, 83 - 94. (1981) Zbl0461.41010MR0618444
  19. J. F. Traub, H. Wozniakowski, A General Theory of Optimal Algorithms, Academic Press, New York 1980. (1980) Zbl0441.68046MR0584446
  20. R. Varga, Functional Analysis and Approximation Theory in Numerical Analysis, Society for Industrial and Applied Mathematics, Philadelphia, Pensylvania 1971. (1971) Zbl0226.65064MR0310504

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