On approximation by trigonometric Lagrange interpolating polynomials II

Author:

Borwein P.B.,Xie T.F.,Zhou S.P.

Abstract

We show that trigonometric Lagrange interpolating approximation with arbitrary real distinct nodes in Lp space for 1 ≤ p < ∞, as that with equally spaced nodes in Lp space for 1 < p < ∞ in an earlier paper by T.F. Xie and S.P. Zhou, may also be arbitrarily “bad”. This paper is a continuation of this earlier work by Xie and Zhou, but uses a different method.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sharp Lp-error estimates for sampling operators;Journal of Approximation Theory;2023-10

2. Some converse results on onesided approximation: Justifications;Analysis in Theory and Applications;2003-09

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