Regularity and Explicit Representation of (0, 1, ..., m-2, m)-Interpolation on the Zeros of the Jacobi Polynomials Original Research Article

A necessary and sufficient condition of regularity of (0, 1, ..., m − 2, m)-interpolation on the zeros of the Jacobi polynomials P(α, β)n(x) (α, β ≥ −1) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given.