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On Osculatory Interpolation, where the Given Values of the Function are at Unequal Intervals

Published online by Cambridge University Press:  18 August 2016

T. G. A.
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Abstract

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Type
Actuarial Notes
Information
Journal of the Institute of Actuaries , Volume 49 , Issue 4 , October 1915 , pp. 369 - 375
Copyright
Copyright © Institute and Faculty of Actuaries 1915

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References

page 370 note * The values of δ, δ 2, and δ 3, can be deduced in terms of the normal (unadjusted) differences of u 0, uh , u h+k , and u h+k+r but, in the resulting formulas, the coefficients of these differences (in terms of h, k, and r) are very complicated, and the formulas are much simplified by the adoption of the adiusted differences.