A fractal procedure for monotonicity preserving interpolation

作者：

Highlights：

• Interpolation subject to strip condition on first derivative is considered with a FIF.

• Shape parameters involved in the FIF controls shape of the curve near left and right end points.

• Some traditional rational splines emerge as special cases of the FIF.

• Derivative of the monotonic rational FIF may be nondifferentiable in a finite or dense subset of interval.

摘要

•Interpolation subject to strip condition on first derivative is considered with a FIF.•Shape parameters involved in the FIF controls shape of the curve near left and right end points.•Some traditional rational splines emerge as special cases of the FIF.•Derivative of the monotonic rational FIF may be nondifferentiable in a finite or dense subset of interval.

论文关键词：Shape preserving interpolation,Iterated Function Systems,Rational cubic spline FIF,Convergence,Monotonicity

论文评审过程：Available online 19 September 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.06.090