Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Shape-preserving $ C\sp 2$ cubic polynomial interpolating splines


Authors: J.-C. Fiorot and J. Tabka
Journal: Math. Comp. 57 (1991), 291-298
MSC: Primary 65D07; Secondary 65D17
MathSciNet review: 1079015
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Abstract: In this paper we propose a method to construct shape-preserving $ {C^2}$ cubic polynomial splines interpolating convex and/or monotonic data. For such given data, the existence or nonexistence of such interpolating splines can be expressed in terms of existence or nonexistence of solutions for a system of linear inequalities in two unknowns.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1991-1079015-1
Keywords: Interpolating cubic spline, shape preservation, Bernstein operator, constructive method
Article copyright: © Copyright 1991 American Mathematical Society