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- W2496064644 abstract "Synopsis The paper is an attempt to bring out the exact relationship between what has been called the ‘modified osculatory process’ and the older formulae of osculatory interpolation. The conditions upon which the modified process is stated to be based are shown to be insufficient in themselves to produce a determinate formula even after the degree has been made as low as possible, and a general formula is derived which satisfies these conditions and of which the formulae hitherto employed are particular cases. The general formula contains, as might be expected, certain arbitrary constants which reflect the relaxation of certain of the conditions insisted on by the older formulae. Illustrative graduations are performed by means of the general formulIllustrative graduations are performed by means of the general formula and the results are compared with previous graduations of the same data by Jenkins's fifth difference formula (which may be obtained by putting b =0 in the general formula), viz.:— This is the particular case of the general formula which has hitherto been used in practice." @default.
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- W2496064644 date "1934-01-01" @default.
- W2496064644 modified "2023-09-25" @default.
- W2496064644 title "On Graduation by the General Formulae of Oscillatory Interpolation" @default.
- W2496064644 doi "https://doi.org/10.1017/s007136860000197x" @default.
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