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Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions

by S. Chen and S. Mao

(Report number 2011-43)

Abstract
In this paper, using the Newton's formula of Lagrange interpolation, we present a new proof of the anisotropic error bounds for Lagrange interpolation of any order on the triangle, rectangle, tetrahedron and cube in a unied way.

Keywords: Lagrange interpolation, Anisotropic error bounds, Newton's interpolation formula

@Techreport{CM11_132,
  author = {S. Chen and S. Mao},
  title = {Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-43},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-43.pdf },
  year = {2011}
}

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