| Title:
             | 
The convex interpolation of histogram by polynomial splines: The existence theorem (English) | 
| Author:
             | 
Ženčák, Pavel | 
| Language:
             | 
English | 
| Journal:
             | 
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica | 
| ISSN:
             | 
0231-9721 | 
| Volume:
             | 
41 | 
| Issue:
             | 
1 | 
| Year:
             | 
2002 | 
| Pages:
             | 
175-182 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
41A15 | 
| MSC:
             | 
41A29 | 
| MSC:
             | 
65D07 | 
| idZBL:
             | 
Zbl 1040.41005 | 
| idMR:
             | 
MR1968229 | 
| . | 
| Date available:
             | 
2009-01-29T16:02:52Z | 
| Last updated:
             | 
2012-05-04 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/120449 | 
| . | 
| Reference:
             | 
[1] de Boor C.: A Practical Guide to Splines.Springer Verlag, New York, 1978 Zbl 0987.65015, MR 0507062 | 
| Reference:
             | 
[2] Schmidt J. W., Hess W., Nordheim, Th.: Shape preserving histopolation using rational quadratic splines.Computing 44 (1990), 245-258. Zbl 0721.65002, MR 1058701 | 
| Reference:
             | 
[3] Schmidt J. W., Hess W.: Shape preserving  $C^2$-spline histopolation.Journal of Approximation Theory 75, 3 (1993), 325-345. MR 1250544 | 
| Reference:
             | 
[4] Ženčák P.: Some algorithm for testing convexity of histogram.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 38 (1999), 149-163. Zbl 0961.41007, MR 1767215 | 
| Reference:
             | 
[5] Ženčák P.: Convexity of histogram and convex histopolation by polynomial splines.In: Proceed, of SANM, Nečtiny, 1999, 327-342. | 
| . |