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On the approximation of certain functions by interpolating polynomials

Published online by Cambridge University Press:  17 April 2009

Michael Revers
Michael Revers
Affiliation:
Department of Mathematics, University of Salzburg, Hellbrunnerstrasse 34, A–5020 Salzburg, Austria e-mail: [email protected]
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Abstract

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In the present paper we consider the approximation of |x|α on [−1, 1] by interpolating polynomials and we establish upper bounds for the approximation error. It turns out that these bounds, apart from the constants, are of the best possible order. We compare our results with estimates for the best approximation, established by Bernstein.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 505 - 512
Copyright
Copyright © Australian Mathematical Society 1998

References

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