Journal of Jilin University Science Edition

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Error Formulas of Lagrange Projectors for Cartesian Point Sets

LI Zhe, SUN Yan   

  1. College of Science, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2014-01-24 Online:2014-09-26 Published:2014-09-26
  • Contact: SUN Yan E-mail:sunyancust@163.com

Abstract:

This paper generalized good error formulas and considered Lagrange interpolation for Cartesian point sets. Taking 3dimension Cartesian point sets for example, we provided the integral form of error formulas for this class of interpolation problem using the relationship between the Bspline and  finite difference quotient. The results can be generalized in the ddimensional Cartesian point sets.

Key words: Cartesian point sets, Lagrange projectors, error formulas

CLC Number: 

  • O241.3