In this note we investigate the possibility to minimize the derivative oscillation for deficient quartic splines of Marsden’s type, motivated by the purpose to reduce the excessive oscillations near midpoints. The error estimate of the obtained quartic spline interpolant is derived considering a comparison with the cases of the smooth quartic spline having continuous second derivative and the quartic spline that has minimal Euclidean norm of the second derivative.

中文翻译：

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关于Marsden型四次样条不足的最小导数振动

在本说明中，我们研究了将Marsden型四次样条花键不足的导数振荡最小化的可能性，其目的是减少中点附近的过度振荡。考虑与具有连续二阶导数的平滑四次样条和具有最小二阶欧几里德范数的四次样条的情况进行比较，得出获得的四次样条插值的误差估计。