OFFSET
1,3
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.1 Gibbs-Wilbraham Constant, p. 248.
LINKS
R. P. Boyer and W. M. Y. Goh Generalized Gibbs phenomenon for Fourier partial sums and de la Vallée-Poussin sums, J. Appl. Math. Comput. 37 (2011) 421-442, p. 11.
Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 33.
FORMULA
(2/Pi)*Integral_{t=0..2*Pi/3} ((cos(t) - cos(2*t))/t^2.
Equals (2/Pi)*(2*Si(4*Pi/3) - Si(2*Pi/3)), where Si is the Sine integral function.
EXAMPLE
1.14272812693068128481021845956657111930110150452947023957171253...
MATHEMATICA
(2/Pi)(2 SinIntegral[4 Pi/3] - SinIntegral[2 Pi/3]) // N[#, 101]& // RealDigits // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Apr 26 2016
STATUS
approved