Fourier series
noun Mathematics.
an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain.
Origin of Fourier series
First recorded in 1875–80; see origin at
Fourier analysis
British Dictionary definitions for fourier series
Fourier series
noun
an infinite trigonometric series of the form 1/2 a 0 + a 1 cos x + b 1 sin x + a 2 cos 2 x + b 2 sin 2 x + …, where a 0, a 1, b 1, a 2, b 2 … are the Fourier coefficients . It is used, esp in mathematics and physics, to represent or approximate any periodic function by assigning suitable values to the coefficients
Scientific definitions for fourier series
Fourier series
An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.