Mean square approximation by optimal periodic interpolation

Franz-Jürgen Delvos

Applications of Mathematics (1995)

  • Volume: 40, Issue: 4, page 267-283
  • ISSN: 0862-7940

Abstract

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Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.

How to cite

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Delvos, Franz-Jürgen. "Mean square approximation by optimal periodic interpolation." Applications of Mathematics 40.4 (1995): 267-283. <http://eudml.org/doc/32919>.

@article{Delvos1995,
abstract = {Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.},
author = {Delvos, Franz-Jürgen},
journal = {Applications of Mathematics},
keywords = {mean square approximation; periodic Hilbert space; exponential interpolants; optimal periodic interpolation; optimal periodic interpolation; mean square approximation; periodic Hilbert space; exponential interpolalants},
language = {eng},
number = {4},
pages = {267-283},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mean square approximation by optimal periodic interpolation},
url = {http://eudml.org/doc/32919},
volume = {40},
year = {1995},
}

TY - JOUR
AU - Delvos, Franz-Jürgen
TI - Mean square approximation by optimal periodic interpolation
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 4
SP - 267
EP - 283
AB - Following the research of Babuška and Práger, the author studies the approximation power of periodic interpolation in the mean square norm thus extending his own former results.
LA - eng
KW - mean square approximation; periodic Hilbert space; exponential interpolants; optimal periodic interpolation; optimal periodic interpolation; mean square approximation; periodic Hilbert space; exponential interpolalants
UR - http://eudml.org/doc/32919
ER -

References

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  1. Über universal optimale Quadraturformeln. Teil 1, Apl. mat. 13 (1968), 304–308. (1968) MR0244680
  2. Approximation by functions of nonclassical form, Approximation theory, Spline functions and Applications, S.P. Singh (ed.), NATO ASI Series C, 356, 1992, pp. 1–18. (1992) Zbl0751.41001MR1165960
  3. 10.1016/0021-9045(87)90096-7, J. Approximation Theory 51 (1987), 71–80. (1987) Zbl0664.41004MR0906762DOI10.1016/0021-9045(87)90096-7
  4. Approximation by optimal periodic interpolation, Apl. mat. 35 (1990), 451–457. (1990) Zbl0743.41005MR1089925
  5. Approximation and spectral properties of periodic spline operators, Proc. Edinburgh Math. Soc. 34 (1991), 363–382. (1991) MR1131957
  6. 10.1007/BF01385736, Numer. Math. 60 (1992), 549–568. (1992) MR1142312DOI10.1007/BF01385736
  7. 10.1090/S0025-5718-1981-0628704-2, Math. Comput. 37 (1981), 403–416. (1981) MR0628704DOI10.1090/S0025-5718-1981-0628704-2
  8. Universally optimal approximation of functionals, Apl. mat. 24 (1979), 406–420. (1979) MR0547044

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