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Cubic splines with minimal norm. (English) Zbl 1090.65012
The author considers cubic splines which minimize some norms (or functionals) on the class of interpolatory cubic splines. The cases of classical cubic splines with defect one and of Hermite \(C^1\) splines with spline knots different from the points of interpolation are discussed.

65D05 Numerical interpolation
65D07 Numerical computation using splines
41A15 Spline approximation
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