We show that the intertwining of sequences of good Lagrange interpolation points for approximating entire functions is still a good sequence of interpolation points. We give examples of such sequences.

This note shows that a wide class of algebraically motivated constructions for Lagrange interpolation polynomials always yields a tensor product interpolation space as long as the nodes form a tensor product grid or a lower subset thereof.

Recursive evaluation procedures based on spherical linear interpolation and stationary subdivision algorithms based on geodesic midpoint averaging are used to construct the analogues on spheres of arbitrary dimension of Lagrange and Hermite interpolation and Bezier and B-spline approximation.

Recently, two novel schemes have been proposed for hierarchical threshold secret sharing, one based on Birkoff interpolation and another based on bivariate Lagrange interpolation. In this short paper, we propose a much simpler solution for this problem.

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...