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On approximation by trigonometric Lagrange interpolating polynomials II

Published online by Cambridge University Press:  17 April 2009

P.B. Borwein ,
T.F. Xie  and
S.P. Zhou
P.B. Borwein
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie UniversityHalifax NSCanadaB3H 3J5
T.F. Xie
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie UniversityHalifax NSCanadaB3H 3J5
S.P. Zhou
Affiliation:
Department of MathematicsHangzhou UniversityHangzhou ZhejiangChina310028
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 215 - 221
Copyright
Copyright © Australian Mathematical Society 1992

References

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