Lagrange interpolation for continuous piecewise smooth functions

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摘要

This note is devoted to Lagrange interpolation for continuous piecewise smooth functions. A new family of interpolatory functions with explicit approximation error bounds is obtained. We apply the theory to the classical Lagrange interpolation.

论文关键词：41A05,41A10,65D05,65D17,Lagrange interpolation,Smoothness,Error estimates

论文评审过程：Received 24 January 2007, Revised 19 September 2007, Available online 22 October 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.10.011