B Fourier Series
525
yield
a 0 =
1
L
L
0
f (x) dx
a n =
2
L
L
0
f (x) cos
nπ x
L
dx, n = 1, 2, . . .
b n =
2
L
L
0
f (x) sin
nπ x
L
dx, n = 1, 2, . . . .
(B.6)
Figure 8.15b (page 426) illustrates a Fourier sine series used to approximate a
discontinuous function.
525
yield
a 0 =
1
L
L
0
f (x) dx
a n =
2
L
L
0
f (x) cos
nπ x
L
dx, n = 1, 2, . . .
b n =
2
L
L
0
f (x) sin
nπ x
L
dx, n = 1, 2, . . . .
(B.6)
Figure 8.15b (page 426) illustrates a Fourier sine series used to approximate a
discontinuous function.