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A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials*

Published online by Cambridge University Press:  20 November 2018

R. B. Saxena*
Affiliation:
University of Alberta, Edmonton, Canada
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The Hermite-Fejér interpolation polynomial Hn[f] of degree ≤2n—1 is defined by

(1)

Where

(2)

are the zeroes of Chebyshev polynomial of first kind Tn(x)=cos n(arc cos x).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1974

Footnotes

*

This research has been supported by the National Research Council Grant NRC-A-3094.

References

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