LAGRANGE INTERPOLATION WITH CONSTRAINTS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:50

Article

CRISCUOLO, G

关键词: LAGRANGE INTERPOLATION;    ORTHOGONAL POLYNOMIALS;    JACOBI WEIGHTS;   

DOI  :  10.1016/0377-0427(94)90299-2

来源: Elsevier

【 摘 要 】

Uniform convergence of Lagrange interpolation at the zeros of Jacobi polynomials in the presence of constraints is investigated. We show that by a simple procedure it is always possible to transform the matrices of these zeros into matrices such that the corresponding Lagrange interpolating polynomial respecting the given constraints well approximates a given function and its derivatives.

【 授权许可】

Free