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On Berman's phenomenon in interpolation theory

Published online by Cambridge University Press:  17 April 2009

W. Lyle Cook  and
T.M. Mills
W. Lyle Cook
Affiliation:
Department of Mathematics, Eastern Montana College, Billings, Montana, USA
T.M. Mills
Affiliation:
Department of Mathematics, Bendigo Institute of Technology, Bendigo, Victoria.
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Abstract

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In 1965, D.L. Berman established an interesting divergence theorem concerning Hermite-Fejér interpolation on the extended Chebyshev nodes. In this paper it is shown that this phenomenon is not an isolated incident. A similar divergence theorem is proved for a higher order interpolation process. The paper closes with a list of several related open problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 3 , June 1975 , pp. 457 - 465
Copyright
Copyright © Australian Mathematical Society 1975

References

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