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A General Formula of Polynomial Interpolation

Published online by Cambridge University Press:  20 January 2009

A. C. Aitken
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The operations of differentiation, ordinary and central differencing, divided differencing, and forming linear combinations of the results of these, have in common the distributive, associative and commutative properties, and the further property that when performed on a general polynomial of the nth degree they produce a polynomial of the n−1th degree, while when performed on a constant they yield zero.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 1 , Issue 4 , July 1929 , pp. 199 - 203
Copyright
Copyright © Edinburgh Mathematical Society 1929

References

page 199 note 1 Cf. DrSteffensen's, J. F., Interpolation (Baltimore, 1927), pp. 178, 184.Google Scholar

page 201 note 1 e.g. by Sheppard, W. F. in the article on Interpolation, Encyc. Brit., 11th Edition, 1910, Vol. XIV., p. 710,Google Scholar