Shovelton,s Rule
المؤلف:
King, A. E
المصدر:
"Approximate Integration. Note on Quadrature Formulae: Their Construction and Application to Actuarial Functions." Trans. Faculty of Actuaries 9,
الجزء والصفحة:
...
8-12-2021
1147
Shovelton's Rule
Let the values of a function 
be tabulated at points 
equally spaced by 
, so 
, 
, ..., 
. Then Shovelton's rule approximating the integral of 
is given by the Newton-Cotes-like formula
REFERENCES:
King, A. E. "Approximate Integration. Note on Quadrature Formulae: Their Construction and Application to Actuarial Functions." Trans. Faculty of Actuaries 9, 218-231, 1923.
Sheppard, W. F. "Some Quadrature-Formulæ." Proc. London Math. Soc. 32, 258-277, 1900.
Whittaker, E. T. and Robinson, G. The Calculus of Observations: A Treatise on Numerical Mathematics, 4th ed. New York: Dover, p. 151, 1967.
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