Dini's Test
A test for the convergence of Fourier series. Let
| phi_x(t)=f(x+t)+f(x-t)-2f(x), |
then if
is finite, the Fourier series converges to f(x) at x.
See also
Fourier SeriesExplore with Wolfram|Alpha
WolframAlpha
More things to try:
References
Sansone, G. Orthogonal Functions, rev. English ed. New York: Dover, pp. 65-68, 1991.Referenced on Wolfram|Alpha
Dini's TestCite this as:
Weisstein, Eric W. "Dini's Test." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DinisTest.html