The convex interpolation of histogram by polynomial splines: The existence theorem

Pavel Ženčák

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 175-182
  • ISSN: 0231-9721

How to cite

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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 41.1 (2002): 175-182. <http://eudml.org/doc/23728>.

@article{Ženčák2002,
author = {Ženčák, Pavel},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {polynomial splines; interpolation; histogram},
language = {eng},
number = {1},
pages = {175-182},
publisher = {Palacký University Olomouc},
title = {The convex interpolation of histogram by polynomial splines: The existence theorem},
url = {http://eudml.org/doc/23728},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Ženčák, Pavel
TI - The convex interpolation of histogram by polynomial splines: The existence theorem
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 175
EP - 182
LA - eng
KW - polynomial splines; interpolation; histogram
UR - http://eudml.org/doc/23728
ER -

References

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  1. de Boor C., A Practical Guide to Splines, Springer Verlag, New York, 1978 Zbl0987.65015MR0507062
  2. Schmidt J. W., Hess W., Nordheim, Th., Shape preserving histopolation using rational quadratic splines, Computing 44 (1990), 245-258. (1990) Zbl0721.65002MR1058701
  3. Schmidt J. W., Hess W., Shape preserving C 2 -spline histopolation, Journal of Approximation Theory 75, 3 (1993), 325-345. (1993) MR1250544
  4. Ženčák P., Some algorithm for testing convexity of histogram, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 38 (1999), 149-163. (1999) Zbl0961.41007MR1767215
  5. Ženčák P., Convexity of histogram and convex histopolation by polynomial splines, In: Proceed, of SANM, Nečtiny, 1999, 327-342. (1999) 

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