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. |
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