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Article information
2001 , Volume 6, ¹ 6, p.14-24
Volkov Y.S.
On monotone interpolation by cubic splines
The problem on monotone interpolation of monotone data by cubic splines is considered. New sufficient conditions of the monotonicity for the classic cubic spline are obtained. The solution of the problem with the help of various cubic splines is discussed. General monotonicity conditions for a wide class of such splines are obtained.
[full text] Classificator Msc2000:- *65D05 Interpolation
- 65D07 Splines
- 41A15 Spline approximation
Classificator Computer Science:- *G.1.1 Interpolation
- G.1.2 Approximation
Keywords: convex spline interpolation, monotone spline interpolation, monotone piecewise cubic interpolation, shape preserving spline interpolation
Author(s):
Volkov Yu S
Office: IM SB RAS
Address: Russia, Novosibirsk
E-mail: volkov@math.nsc.ru
Bibliography link:
Volkov Y.S. On monotone interpolation by cubic splines // Computational technologies. 2001. V. 6. ¹ 6. P. 14-24
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