| Title:
|
Best simultaneous $L_p$ approximations (English) |
| Author:
|
Karakuş, Yusuf |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
457-463 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study simultaneous approximation of $n$ real-valued functions in $L_{p}[ {a,b}]$ and give a generalization of some related results. (English) |
| Keyword:
|
quasi-metric |
| Keyword:
|
continuous map |
| Keyword:
|
Borel map |
| Keyword:
|
$\sigma $-discrete map |
| Keyword:
|
$\sigma $-discretely decomposable family |
| Keyword:
|
absolutely Borel set |
| Keyword:
|
absolutely analytic space |
| MSC:
|
26A21 |
| MSC:
|
28A05 |
| MSC:
|
41A28 |
| MSC:
|
41A50 |
| MSC:
|
41A65 |
| MSC:
|
54E35 |
| MSC:
|
54H05 |
| idZBL:
|
Zbl 0957.41011 |
| idMR:
|
MR1637922 |
| . |
| Date available:
|
2009-09-24T10:15:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127432 |
| . |
| Reference:
|
[1] A.S.B. Holland and B.N. Sahney: Some remarks on best simultaneous approximation.Theory of Approximation with Application, A.G. Law and B.N. Sahney (eds.), Academic Press, New York, 1976, pp. 332–337. MR 0412694 |
| Reference:
|
[2] W.H. Ling: On simultaneous Chebyshev approximation in the sum norm.Proc. Amer. Mat. Soc. 48 (1975), 185–188. Zbl 0296.41020, MR 0361555 |
| Reference:
|
[3] G.M. Phillips and B.N. Sahney: Best simultaneous approximation in the $L_{{1}}$ and $L_{{2}}$ norms.Theory of Approximation with Applications, A.G. Law and B.N. Sahney (eds.), Academic press, New York, 1976, pp. 213–219. MR 0412693 |
| Reference:
|
[4] A.S.B. Holland, J.H. McCabe, G.M. Phillips and B.N. Sahney: Best simultaneous $L_{{1}}$-approximations.Journal of Approximation Theory 24 (1978), 361–365. MR 0523985, 10.1016/0021-9045(78)90021-7 |
| Reference:
|
[5] Y. Karakuş: Simultaneous approximation in $L_{p}$ norm.Doga-Turkish Journal of Mathematics, Tübitak-Ankara 15 (1991), 25–28. MR 1100817 |
| Reference:
|
[6] Y. Karakuş and S. Atacik: Simultaneous Approximation in $L_{p}[ {a,b}] $ when $p$ is non-integer real number.Doga-Turkish Journal of Mathematics, Tübitak-Ankara 15 (1991), 165–168. MR 1136185 |
| . |
