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Abel–Gontscharoff interpolation error bounds for derivatives

Published online by Cambridge University Press:  14 November 2011

Patricia J. Y. Wong  and
Ravi P. Agarwal
Patricia J. Y. Wong
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511
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Synopsis

We obtain best possible uniform error bounds for the derivatives of the Abel–Gontscharoff polynomial interpolation of a function on the interval [a, b].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 3-4 , 1991 , pp. 367 - 372
Copyright
Copyright © Royal Society of Edinburgh 1991

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