Period of Multiple Function
Period of Multiple Function:
If f and g are periodic of period p then so is f g
Proof : Denote f g by h want h (x p) = h (x)
h (x p) = f (x p g(x p))
f (x) = g (x)
h (x) Where h is periodic of periods p.
If f is a periods of p then the graph of f repeats itself every p units.
Therefore if we know the curve of periodic function on Then we can draw the entire graph.
If f is a periodic of period p then;
Our purpose is to approximate periodic functions by sine and cosine. We define further Fourier Series of the periodic function f (x) by:
Fourier Coefficients a0, an and bn can be obtained by Euler Formulas.