Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 280-284.

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New Approach to Bivariate Blending Rational Interpolants 

  

  1. 1. Key Lab of Network and Intelligent Information Processing, Hefei University2. College of Mathematics, Hefei University of Technology

  • Received:2008-04-24 Online:2011-06-30 Published:2023-05-05
  • About author:TANG Shuo(1964-), male, native of Chaohu, Anhui, a professor of Hefei University of Technology, engages in acceleration convergence of continued fractions, rational interpolation and approximation.
  • Supported by:
    Supported by the Project Foundation of the Department of Education of Anhui Province(KJ2008A027,KJ2010B182,KJ2011B152,KJ2011B137); Supported by the Grant of Scientific Research Foundation for Talents of Hefei University(11RC05); Supported by the Grant of Scientific Research Foundation Hefei University(11KY06ZR);

Abstract: Newton’s polynomial interpolation may be the favorite linear interpolation, associated continued fractions interpolation is a new type nonlinear interpolation. We use those two interpolation to construct a new kind of bivariate blending rational interpolants. Characteristic theorem is discussed. We give some new blending interpolation formulae.

Key words: associated continued fractions interpolation, blending rational interpolants;
characteristic theorem

CLC Number: