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Note on Logarithmic Interpolation

Published online by Cambridge University Press:  07 November 2014

G. J. Lidstone
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Transactions of the Faculty of Actuaries , Volume 17 , 1945 , pp. 216 - 218
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Copyright © Institute and Faculty of Actuaries 1945

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References

page 218 note * If the terms are arranged in the reverse order the corresponding condition is that λ(n) and V(n) have the sign of (-)n.

page 218 note † An illustration only, for in this particular problem it is better to use Lever's method (J.I.A., vol. lii. p. 171) of equating ax to and interpolating for n. In our example this gives almost an exact result. But this or a similar method is not available for functions in general.

page 218 note ‡ More generally we may use log10 (K +mantissa of log10V), where K is a small integer chosen to quicken the convergence of the differences.