REGULARITY AND EXPLICIT REPRESENTATION OF (O, 1, ..., M-2, M)-INTERPOLATION ON THE ZEROS OF THE JACOBI-POLYNOMIALS

[摘要] A necessary and sufficient condition of regularity of (0, 1, ..., m - 2, m)-interpolation on the zeros of the Jacobi polynomials P(n)(alpha, beta)(x) (alpha, beta greater-than-or-equal-to -1) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-01