@article{CMUC_1976_17_4_a12,
author = {Filipec, Pavel M.},
title = {On convergence of the {Fourier} series of a constructive function of weakly bounded variation},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {755--769},
year = {1976},
volume = {17},
number = {4},
mrnumber = {0446921},
zbl = {0346.02016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1976_17_4_a12/}
}
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 SP - 755 EP - 769 VL - 17 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1976_17_4_a12/ LA - en ID - CMUC_1976_17_4_a12 ER -
%0 Journal Article %A Filipec, Pavel M. %T On convergence of the Fourier series of a constructive function of weakly bounded variation %J Commentationes Mathematicae Universitatis Carolinae %D 1976 %P 755-769 %V 17 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_1976_17_4_a12/ %G en %F CMUC_1976_17_4_a12
Filipec, Pavel M. On convergence of the Fourier series of a constructive function of weakly bounded variation. Commentationes Mathematicae Universitatis Carolinae, Tome 17 (1976) no. 4, pp. 755-769. http://geodesic.mathdoc.fr/item/CMUC_1976_17_4_a12/
[1] O. DEMUTH: Lebesgue integration in constructive analysis. Dokl. akad. nauk SSSR 160 (1965), 1239-1241 (in Russian). | MR | Zbl
[2] O. DEMUTH: Mean-value theorems for constructive Lebesgue integral. Comment. Math. Uhiv. Carolinae 11 (1970), 249-269 (in Russian). | MR
[3] A. A. MARKOV: Theory of algorithms. Trudy Mat. Inst. Steklov, no.42, Moscow, 1954; English trasnsl., Israel Program for Scientific Translations, Jerusalem, 1961. | MR
[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. | MR
[5] N. A. ŠANIN: Constructive real numbers and constructive functional spaces. Trudy Mat. Inst. Steklov 67 (1962), 15-294 (in Russian). | MR
[6] G. S. CEJTIN: Algorithmic operators in constructive metric spaces. Trudy Mat. Inst. Steklov 67 (1962), 295-361 (in Russian). | MR
[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). | MR
[8] G. H. HARD W. W. ROGOSINSKI: Fourier Series. Cambridge, 1962. | MR
[9] P. FILIPEC: Fourier Series in constructive mathematics. Master Thesis, Prague, 1970 (in Czech).