| Title:
|
On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int_a^b|x(t)|dt$ (English) |
| Author:
|
Singer, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
10 |
| Issue:
|
3 |
| Year:
|
1960 |
| Pages:
|
425-431 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46.00 |
| idZBL:
|
Zbl 0099.28202 |
| idMR:
|
MR0121630 |
| DOI:
|
10.21136/CMJ.1960.100423 |
| . |
| Date available:
|
2008-06-09T13:08:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100423 |
| . |
| Reference:
|
[1] Хавинсон С. Я.: К вопросу о единственности многоглена наилучшего приближения в метрике пространства $L_1$.Докл. Акад". Наук СССР, 105 (1955), но. 6, 1159-1161. Zbl 0068.31701, MR 0076068 |
| Reference:
|
[2] Хавинсон С. Я.: О единственности функции наилучшего приближения в метрике пространства $L_1$.Изв. Акад. Наук СССР, сер. мат., 22 (1958), 243-270. Zbl 0087.10601, MR 0101443 |
| Reference:
|
[3] Jackson D.: A general class of problems in approximation.Amer. Journal of Math., 46 (1924), 215-234. MR 1506532 |
| Reference:
|
[4] Pták V.: A remark on approximation of continuous functions.Czechoslovak Math. Journal, 8 (1958), 251-256. MR 0100193 |
| Reference:
|
[5] Pták V.: On approximation of continuous functions in the metric $\int \sb{a}\sp{b}\vert x(t)\vert dt$.Czechoslovak Math. Journal, 8 (1958), 267-273. MR 0100752 |
| Reference:
|
[6] Pták V.: Supplement to the article "On approximation of continuous functions in the metric $\int \sb{a}\sp{b}\vert x(t)\vert dt$.Czechoslovak Math. Journal, 8 (1958), 464. MR 0100752 |
| Reference:
|
[7] Singer I.: Proprietati ale suprafetei sferei unitate si aplicatii la rezolvarea problemei unieitatii polinomului de cea mai buna aproximatie in spatii Banach oareeare.Studii si cercet. mat., 7 (1956), No. 1 - 2, 95-145. MR 0080276 |
| Reference:
|
[8] Singer I.: Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque.Acta Sci. Math. (Szeged), 17 (1956), fasc. 3-4, 181-189. Zbl 0072.13003, MR 0084620 |
| Reference:
|
[9] Singer I.: Asupra unicitatii elementului de cea mai bunä aproximatie in spatii Banach oarecare.Studii si cercet. mat., 8 (1957), No. 1-2, 235-244. MR 0096108 |
| . |
