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On interpolation polynomials of the Hermite-Fejér type II

Published online by Cambridge University Press:  17 April 2009

S.J. Goodenough  and
T.M. Mills
S.J. Goodenough
Affiliation:
Department of Mathematics, Bendigo College of Advanced Education, Bendigo, Victoria 3550, Australia.
T.M. Mills
Affiliation:
Department of Mathematics, Bendigo College of Advanced Education, Bendigo, Victoria 3550, Australia.
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Abstract

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Given a ŕeal-valued function f on [−1, 1], n ∈ N, and the following partition of [−1, 1[:

there exists a unique polynomial R4n−1(f; x) of degree not exceeding 4n − 1 such that

and, for j = 1, 2 and 3,

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 283 - 291
Copyright
Copyright © Australian Mathematical Society 1981

References

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