| Title:
|
On convergence of the Fourier series of a constructive function of weakly bounded variation (English) |
| Author:
|
Filipec, Pavel M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
17 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
755-769 |
| . |
| Category:
|
math |
| . |
| MSC:
|
02E05 |
| MSC:
|
02E99 |
| MSC:
|
03F99 |
| MSC:
|
42A20 |
| idZBL:
|
Zbl 0346.02016 |
| idMR:
|
MR0446921 |
| . |
| Date available:
|
2008-06-05T20:52:57Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105735 |
| . |
| Reference:
|
[1] O. DEMUTH: Lebesgue integration in constructive analysis.Dokl. akad. nauk SSSR 160 (1965), 1239-1241 (in Russian). Zbl 0224.02022, MR 0175778 |
| Reference:
|
[2] O. DEMUTH: Mean-value theorems for constructive Lebesgue integral.Comment. Math. Uhiv. Carolinae 11 (1970), 249-269 (in Russian). MR 0279269 |
| Reference:
|
[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 0132690 |
| Reference:
|
[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 0101189 |
| Reference:
|
[5] N. A. ŠANIN: Constructive real numbers and constructive functional spaces.Trudy Mat. Inst. Steklov 67 (1962), 15-294 (in Russian). MR 0156786 |
| Reference:
|
[6] G. S. CEJTIN: Algorithmic operators in constructive metric spaces.Trudy Mat. Inst. Steklov 67 (1962), 295-361 (in Russian). MR 0152426 |
| Reference:
|
[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 0152428 |
| Reference:
|
[8] G. H. HARD W. W. ROGOSINSKI: Fourier Series.Cambridge, 1962. MR 0044660 |
| Reference:
|
[9] P. FILIPEC: Fourier Series in constructive mathematics.Master Thesis, Prague, 1970 (in Czech). |
| . |
