OFFSET
0,1
COMMENTS
The smallest weight in Holladay-Sard's quadrature formula for semi-infinite integrals.
REFERENCES
Harold J. Ahlberg, Edwin N. Nilson and Joseph L. Walsh, The Theory of Splines and Their Applications, Academic Press, 1967.
LINKS
John C. Holladay, A smoothest curve approximation, Math. Comp. Vol. 11 (1957), 233-243.
Leroy F. Meyers and Arthur Sard, Best approximate integration formulas, J. Math. Phys. Vol. 29 (1950), 118-123.
Arthur Sard, Best approximate integration formulas; best approximation formulas, American Journal of Mathematics Vol. 71 (1949), 80-91.
Frans Schurer, On natural cubic splines, with an application to numerical integration formulae, EUT report. WSK, Dept. of Mathematics and Computing Science Vol. 70-WSK-04 (1970), 1-32.
FORMULA
EXAMPLE
0.3943375672974064411272871951...
MAPLE
Digits := 1000; evalf((3 + sqrt(3))/12);
MATHEMATICA
RealDigits[(3 + Sqrt[3])/12, 10, 100][[1]]
PROG
(PARI) (3 + sqrt(3))/12
CROSSREFS
KEYWORD
AUTHOR
Franck Maminirina Ramaharo, Nov 09 2018
STATUS
approved