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Kobza, Jiří ; Zápalka, Dušan
Natural and smoothing quadratic spline. (An elementary approach). (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 187-204
MSC: 41A15, 65D05, 65D07 | MR 1109124 | Zbl 0731.65006 | DOI: 10.21136/AM.1991.104459
Keywords:
spline functions; quadratic spline; interpolation; smoothing by splines; histosplines; parabolic spline; cubic spline interpolation; natural spline interpolation
Summary:
For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.
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