| Title:
|
The polynomial approximation of continuous functions defined on $(-\infty,\infty)$ (English) |
| Author:
|
Hsu, L. C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
9 |
| Issue:
|
4 |
| Year:
|
1959 |
| Pages:
|
574-578 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
41.00 |
| idZBL:
|
Zbl 0092.06003 |
| idMR:
|
MR0109975 |
| DOI:
|
10.21136/CMJ.1959.100383 |
| . |
| Date available:
|
2008-06-09T13:05:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100383 |
| . |
| Reference:
|
[1] Chlodovsky I.: Sur le développement des fonctions dans un intervalle infini en séries de polynômes de M. S. Bernstein.Compositio Math., 4 (1937), 380-393. MR 1556982 |
| Reference:
|
[2] Hsu L. C.: A new type of polynomials approximating a continuous or integrable function.Studia Mathematica 18 (1959), 43-48. Zbl 0085.05301, MR 0102687, 10.4064/sm-18-1-43-48 |
| Reference:
|
[3] Hsu L. C., Hsu L. P.: On a new class of approximating polynomials for real functions.Science Record, new ser. (Academia Sinica), 3 (1959), 65 - 70. Zbl 0083.04903, MR 0102688 |
| Reference:
|
[4] Kantorovitch L. V.: Sur certains développement suivant les polynômes de la forme de S. Bernstein I, II.С. R. Acad. Sci. URSS (1930), 563-568, 595-560. |
| Reference:
|
[5] Lorentz G. G.: Bernstein polynomials.(1953), Chapters I, II. Zbl 0051.05001, MR 0057370 |
| . |