The Method of Constructing Bivariate Osculatory Interpolation Formula

Abstract:

      In this paper, the method of superposed interpolation for the problem of oscu-latory interpolation on the basis of our paper [1] is given. It allows of some irregular interpolation conditions. Not only the existence and the uniqueness of the interpolation may be assured, but some concrete interpolation formula can be obtained. In the close of this paper a generalization of the classical Lagrange interpolation method to bivariate osculatory interpolation is given. It also generalizes the results of Тополяньский and Ahlin ([2]、[3]).