On convergence of the Fourier series of a constructive function of weakly bounded variation

Pavel M. Filipec

Commentationes Mathematicae Universitatis Carolinae (1976)

  • Volume: 017, Issue: 4, page 755-769
  • ISSN: 0010-2628

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Filipec, Pavel M.. "On convergence of the Fourier series of a constructive function of weakly bounded variation." Commentationes Mathematicae Universitatis Carolinae 017.4 (1976): 755-769. <http://eudml.org/doc/16791>.

@article{Filipec1976,
author = {Filipec, Pavel M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {755-769},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On convergence of the Fourier series of a constructive function of weakly bounded variation},
url = {http://eudml.org/doc/16791},
volume = {017},
year = {1976},
}

TY - JOUR
AU - Filipec, Pavel M.
TI - On convergence of the Fourier series of a constructive function of weakly bounded variation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1976
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 017
IS - 4
SP - 755
EP - 769
LA - eng
UR - http://eudml.org/doc/16791
ER -

References

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  1. O. DEMUTH, Lebesgue integration in constructive analysis, Dokl. akad. nauk SSSR 160 (1965), 1239-1241 (in Russian). (1965) Zbl0224.02022MR0175778
  2. O. DEMUTH, Mean-value theorems for constructive Lebesgue integral, Comment. Math. Uhiv. Carolinae 11 (1970), 249-269 (in Russian). (1970) MR0279269
  3. A. A. MARKOV, Theory of algorithms, Trudy Mat. Inst. Steklov, no.42, Moscow, 1954; English trasnsl., Israel Program for Scientific Translations, Jerusalem, 1961. (1954) MR0132690
  4. N. A. ŠANIN, A constructive interpretation of mathematical judgments, Trudy Mat. Inst. Steklov 52 (1958), 226-311; English trans 1., Amer. Math. Soc. Transl. (2) 23 (1963), 109-189. (1958) MR0101189
  5. N. A. ŠANIN, Constructive real numbers and constructive functional spaces, Trudy Mat. Inst. Steklov 67 (1962), 15-294 (in Russian). (1962) MR0156786
  6. G. S. CEJTIN, Algorithmic operators in constructive metric spaces, Trudy Mat. Inst. Steklov 67 (1962), 295-361 (in Russian). (1962) MR0152426
  7. I. D. ZASLAVSKIJ G. S. CEJTIN, Singular coverings and properties of constructive functions connected with them, Trudy Mat. Inst. Steklov 67 (1962), 458-502 (in Russian). (1962) MR0152428
  8. G. H. HARD W. W. ROGOSINSKI, Fourier Series, Cambridge, 1962. (1962) MR0044660
  9. P. FILIPEC, Fourier Series in constructive mathematics, Master Thesis, Prague, 1970 (in Czech). (1970) 

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