Optimal piecewise smooth interpolation of experimental data
The notions of optimal piecewise smooth interpolation and oscillation of interpolation type are introduced. This notions are used and illustrated on some cubic piecewise smooth interpolation procedures and on some cubic splines. It is obtained a cubic spline of interpolation having minimal quadratic oscillation in average, as an application of the least squares method.
piecewise smooth interpolation oscillation of interpolation type quadratic oscillation in average optimal smooth approximations