Hermite Interpolation Using a Triangular Polynomial Basis

Schubert polynomials were discovered by A. Lascoux and M. Schützenberger in the study of cohomology rings of flag manifolds in 1980s. These polynomials generalize Schur polynomials and form a linear basis of multivariate polynomials. In 2003, Lenart and ...

The authors establish the condition for the existence of the Chebyshev approximation by the sum of the polynomial and logarithmic expression with the least absolute error and Hermite interpolation at the end points of the interval. The method is ...

Let x0, x1,ź , xn, be a set of n + 1 distinct real numbers (i.e., xi ź xj, for i ź j) and yi, k, for i = 0,1,ź , n, and k = 0 ,1 ,ź , ni, with ni ź 1, be given of real numbers, we know that there exists a unique polynomial pN ź 1(x) of degree N ź 1 ...