| The aim of this paper is to construct a few kinds of generalized interpolatingrational splines by various method, including Thiele’s reciprocal difference method, Padeapproximant method, generalized Q.D.algorithm and generalized ε-algorithm. Amongothers we also establish in direct way the determinant representations and remainderrepresentations of the generalized rational splines of type (k - 1, k) and prove some prop-erties of them,such as existence, uniqueness, homogeneity and continuity of generalized rational spline operators. |
