Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblŽenčák, Pavel. Some algorithm for testing convexity of histogram. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 38 (1999) no. 1, pp. 149-163. http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a15/
@article{AUPO_1999_38_1_a15,
author = {\v{Z}en\v{c}\'ak, Pavel},
title = {Some algorithm for testing convexity of histogram},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {149--163},
year = {1999},
volume = {38},
number = {1},
mrnumber = {1767215},
zbl = {0961.41007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a15/}
}
TY - JOUR AU - Ženčák, Pavel TI - Some algorithm for testing convexity of histogram JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 1999 SP - 149 EP - 163 VL - 38 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a15/ LA - en ID - AUPO_1999_38_1_a15 ER -
[1] Beatson R. K., Wolkowics H.: Post-processing piecewise cubics for monotonicity. SIAM J. Numer. Anal. 26, 2 (1989), 480-502. | MR
[2] de. Boor C., Swartz B.: Piecewise monotone interpolаtion. Journal of Approximation Theory 21 (1977), 411-416. | MR
[3] Costantini P., Morandi R.: Monotone аnd convex spline interpolаtion. Calcolo 21 (1984), 281-294. | MR
[4] Costantini P.: On monotone аnd convex spline interpolаtion. Mathematics of Computing 46, 173 (1986), 203-214. | MR
[5] Eisenstst S. C., Jackson K. R., Lewis J. W.: The order of monotone piecewise cubic interpolаtion. SIAM J. Numer. Anal. 22, 6 (1988), 1220-1237. | MR
[6] Fritsch F. N., Carlson R. E.: Monotone piecewise cubic interpolаtion. SIAM J. Numer. Anal. 17, 2 (1980), 238-246. | MR
[7] Hess W., Schmidt J. W.: Direct methods for constructing positive spline interpolаtion. In: Wavelets, Images and Surface Fitting, P. J. Laurent, A. Le Méhauté, L. L. Schumaker (eds.), 1994, 287-294. | MR
[8] Hess W., Schmidt J. W.: Convex C3 interpolаtion with quаrtic splines on threefold refined grids. Preprint ТU Dresden, 1994, MAТH-NM-12-1994.
[9] Hess W., Schmidt J. W.: Shаpe preserving C3 dаtа interpolаtion аnd C2 histopolаtion with splines on threefold refined grids. Submitted to ZAMM, 1995.
[10] Lahtinen A.: Positive Hermite interpolаtion by quаdrаtic splines. SIAM J. Numer. Anal. 24, 1 (1993), 223-233. | MR
[11] Mulansky B., Schmidt J. W.: Constructive methods in convex interpolаtion using quаrtic splines. Numerical Algorithms 12 1996, 111-124. | MR
[12] Sakai M., Usmani R. A.: A shаpe preserving аreа true аpproximаtion of histogrаm by rаtionаl splines. BIТ 28 (1988), 329-339. | MR
[13] Schmidt J. W., Hess W.: Schwach verkoppelte ungleichungsysteme und konvexe Spline-Interpolation. Elem. Math. 39 (1984), 85-95. | MR
[14] Schmidt J. W., Hess W.: Positivity of cubic polynomials on intervals and positive spline interpolation. BIT 28 (1988), 340-352 | MR | Zbl
[15] Schmidt J. W., Hess W., Nordheim, Th.: Shape preserving histopolation using rational quadratic splines. Computing 44 (1990), 245-258. | MR | Zbl
[16] Schmidt J. W., Hess W.: Shape preserving C2 -spline histopolation. Journal of Approximation Theory 75, 3 (1993), 325-345. | MR
[17] Schmidt J. W.: Staircase algorithm and construction of convex interpolants up to the continuity C3. In: Computers Mathematics Applications, P. Rózsa, J. W. Schmidt, B. A. Szabó (guest) eds., 1995.
[18] Schmidt J. W.: Dual algorithms for convex approximations of histograms using cubic C1 splines. Numerical Analysis and Mathematical Modelling 29 (1994), 35-44. | MR
[19] Spaeth H.: Eindimensionale Spline-Interpolations-Algorithmen. Oldenbourgh Verlag, 1990. | MR | Zbl
[20] Yan Z.: Piecewise cubic curve fitting algorithm. Math. Comp. 49, 179 (1987), 203-213. | MR | Zbl