Category
page 1Fourier series

Fourier series
decomposition of periodic functions into sums of simpler sinusoidal forms
square wave
type of non-sinusoidal waveform
sawtooth wave
type of non-sinusoidal waveform
triangle wave
non-sinusoidal waveform named for its triangular shape
Parseval's identity
mathematical concept
Gibbs phenomenon
peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function behaves at a jump discontinuity
trigonometric series
sum of sines and cosines with corational frequencies
Dirichlet kernel
Concept in mathematical analysis
Fejér's theorem
theorem
Fejér kernel
Family of functions in mathematics
Riesz–Fischer theorem
theorem
Dirichlet conditions
theorem
Dini test
Denjoy–Luzin theorem
F. and M. Riesz theorem
sigma approximation
method of adjusting a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities.