The integral
![1/(2pi(n+1))int_(-pi)^pif(x){(sin[1/2(n+1)x])/(sin(1/2x))}^2dx](/images/equations/FejersIntegral/NumberedEquation1.svg) |
which gives the 
th
Cesàro mean of the Fourier
series of 
.
Fejér's Integral
See also
Cesàro Mean, Fourier SeriesExplore with Wolfram|Alpha
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 12, 1975.Referenced on Wolfram|Alpha
Fejér's IntegralCite this as:
Weisstein, Eric W. "Fejér's Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FejersIntegral.html