Convexity and monotonicity properties of the local integro cubic spline

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摘要

In this paper, we consider shape-preserving properties of the local integro-cubic spline. The sufficient conditions for convex, monotone, or positive approximation are given. Some examples are provided to illustrate shape-preserving properties of the splines.

论文关键词:Local integro spline,Shape-preserving,Approximation

论文评审过程:Received 1 September 2015, Revised 4 January 2016, Accepted 15 August 2016, Available online 30 August 2016, Version of Record 30 August 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.08.017