| Title:
|
An application of semi-infinite linear programming: approximation of a continuous function by a polynomial (English) |
| Author:
|
Bartl, David |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
12 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
3-11 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A50 |
| MSC:
|
65K05 |
| MSC:
|
90C05 |
| MSC:
|
90C34 |
| MSC:
|
90C90 |
| idZBL:
|
Zbl 1235.90166 |
| idMR:
|
MR2214667 |
| . |
| Date available:
|
2009-01-30T09:10:50Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120598 |
| . |
| Reference:
|
[1] Duffin R. J.: Infinite Programs.In Linear Inequalities and Related Systems. Ed. H. W. KUHN, A. W. Tucker. Princeton: Princeton Univ. Press, 1956, pp. 157-170. (Annals of Mathematics Studies; no. 38.) Zbl 0072.37603, MR 0087573 |
| Reference:
|
[2] HAAR A.: Über lineare Ungleichungen.Acta Sci. Math., 1924, vol. 2, pp. 1-14. |
| Reference:
|
[3] FAN K.: On Systems of Linear Inequalities.In Linear Inequalities and Related Systems. Ed. H. W. Kuhn, A. W. Tucker. Princeton: Princeton Univ. Press, 1956, pp. 99-156. (Annals of Mathematics Studies; no. 38.) Zbl 0072.37602, MR 0087901 |
| Reference:
|
[4] Fan K., Glicksberg I., Hoffman A. J.: Systems of Inequalities Involving Convex Functions.Proceedings of the American Mathematical Society, June 1957, vol. 8, pp. 617-622. Zbl 0079.02002, MR 0087574 |
| Reference:
|
[5] Farkas J.: Theorie der einfachen Ungleichungen.Journal für die reine und angewandte Mathematik, 1902, vol. 124, pp. 1-27. |
| Reference:
|
[6] Grygarová L.: Úvod do lineárního programování.[An Introduction to Linear Programming, in Czech.] Praha: SPN, 1975. |
| Reference:
|
[7] Craven B. D., Koliha J. J.: Generalizations of Farkas' Theorem.SIAM Journal on Mathematical Analysis, November 1977, vol. 8, no. 6, pp. 983-997. Zbl 0408.52006, MR 0471302, 10.1137/0508076 |
| Reference:
|
[8] Lukeš J.: Zápisky z funkcionální analýzy.[Manuscripts on Functional Analysis, in Czech]. 1. vydání. [1st edidion.] Praha: Karolinum, 1998. 2. vydání. [2nd edidion.] Praha: Karolinum, 2002. |
| Reference:
|
[9] Prékopa A.: On the Development of Optimization Theory.American Mathematical Monthly, August-September 1980, vol. 87, pp. 527-542. MR 0600911, 10.2307/2321417 |
| Reference:
|
[10] Weyl H.: Elementare Theorie der konvexen Polyeder.Commentarii Mathematici Helvetici, 1935, vol. 7, pp. 290-306. English translation: The elementary theory of convex polyhedra. In Contributions to the Theory of Games. Volume I. Ed. H. W. Kuhn, A. W. Tucker. Princeton: Princeton Univ. Press, 1950, pp. 3-18. (Annals of Mathematics Studies; no. 24.) Zbl 0011.41104 |
| Reference:
|
[11]
: Problem no. A.318.KöMaL, April 2003, vol. 53, no. 4, p. 255. |
| . |
