1994•Birkhäuser Boston eBooksRequires access

Approximation of Functions by Extended Lagrange Interpolation

G. Mastroianni

Abstract

We consider some extended interpolation processes based on the zeros of the product of two orthogonal polynomials and on some additional points near ±1. We derive necessary conditions for the convergence in the L p weighted spaces. These conditions involve the weight of the orthogonal polynomials and the distribution of the interpolation points.

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Key concepts: Interpolation (computer graphics), Lagrange polynomial, Orthogonal polynomials, Mathematics, Convergence (economics), Applied mathematics, Birkhoff interpolation, Trigonometric interpolation