A remainder formula of numerical differentiation for the generalized Lagrange interpolation

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摘要

Through exploiting the generalized Lagrange interpolation for continuous piecewise smooth functions, a remainder term of numerical differentiation is given. Also, the error estimates for the numerical differentiation formula are presented.

论文关键词:Lagrange interpolation,Numerical differentiation,Divided difference

论文评审过程:Received 11 July 2008, Available online 24 December 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.12.007