Geodesic
The convex interpolation of histogram by polynomial splines: The existence theorem
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 41 (2002) no. 1, pp. 175-182 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 41A15, 41A29, 65D07 
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Ženčák, Pavel. The convex interpolation of histogram by polynomial splines: The existence theorem. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 41 (2002) no. 1, pp. 175-182. http://geodesic.mathdoc.fr/item/AUPO_2002_41_1_a15/

[1] de Boor C.: A Practical Guide to Splines. Springer Verlag, New York, 1978 | MR | Zbl

[2] Schmidt J. W., Hess W., Nordheim, Th.: Shape preserving histopolation using rational quadratic splines. Computing 44 (1990), 245-258. | MR | Zbl

[3] Schmidt J. W., Hess W.: Shape preserving $C^2$-spline histopolation. Journal of Approximation Theory 75, 3 (1993), 325-345. | MR

[4] Ženčák P.: Some algorithm for testing convexity of histogram. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 38 (1999), 149-163. | MR | Zbl

[5] Ženčák P.: Convexity of histogram and convex histopolation by polynomial splines. In: Proceed, of SANM, Nečtiny, 1999, 327-342.