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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
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Category: math
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MSC: 41A15
MSC: 41A29
MSC: 65D07
idZBL: Zbl 1040.41005
idMR: MR1968229
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Date available: 2009-01-29T16:02:52Z
Last updated: 2012-05-04
Stable URL: http://hdl.handle.net/10338.dmlcz/120449
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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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