“ garcia de galdeano ” garcía de galdeano seminario matemático n . 27
نویسندگان
چکیده
Principal lattices in the plane are distributions of points particularly simple to use Lagrange, Newton or Aitken-Neville interpolation formulas. Principal lattices were generalized by Lee and Phillips, introducing three-pencil lattices, that is, points which are the intersection of three lines, each one belonging to a different pencil. In this contribution, a semicubical parabola is used to construct lattices of points with similar properties. For the construction of new lattices we use cubic pencils of lines and an addition of lines on them.
منابع مشابه
0 “ garcia de galdeano ” garcía de galdeano seminario matemático n . 25 PRE - PUBLICACIONES del seminario matematico 2001 J . M . Carnicer M . García - Esnaola
A bivariate polynomial interpolation problem for points lying on an algebraic curve is introduced. The geometric characterization introduced by Chung and Yao, which provides simple Lagrange formulae, is here analyzed for interpolation points lying on a line, a conic or a cubic.
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