An Application of Taylor's Series with a Mean Argument for the Interpolation, Numerical Integration, and Summation of Certain Functions

Details An Application of Taylor's Series with a Mean Argument for the Interpolation, Numerical Integration, and Summation of Certain Functions An Application of Taylor's Series with a Mean Argument for the Interpolation, Numerical Integration, and Summation of Certain Functions

Apr 1962

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1962sva.....5..754b&link_type=abstract

Soviet Astronomy, Vol. 5, p. 754-757

Astronomy and Astrophysics

Astronomy

Scientific paper

The possibility is shown of an effective application of Taylor's series, with derivatives referred to the mean argument, for the interpolation, numerical integration and summation of certain functions whose analytic expression is known. The formulas obtained facilitate interpolation, especially inverse interpolation, and the formation and condensation of accurate tables of functions with large differences of argument. The quadrature formulas are suitable at close limits of integration for functions which are easier to differentiate than integrate. Calculations are given for various examples.

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