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On approximation by trigonometric Lagrange interpolating polynomials II

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

Source record

Source: Crossref

Published: Apr 1, 1992

DOI: 10.1017/s0004972700030070

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Source abstract

We show that trigonometric Lagrange interpolating approximation with arbitrary real distinct nodes in L p space for 1 ≤ p < ∞, as that with equally spaced nodes in L p 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.

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On approximation by trigonometric Lagrange interpolating polynomials II — Mathematical Frontier Network