A Note on General Frames for Bivariate Interpolation

摘要

Newton interpolation and Thiele-type continued fractions interpolation may be the favoured linear interpolation and nonlinear interpolation, but these two interpolations could not solve all the interpolant problems. In this paper, several general frames are established by introducing multiple parameters and they are extensions and improvements of those for the general frames studied by Tan and Fang. Numerical examples are given to show the effectiveness of the results in this paper.