Please find Fourier Series problem?

[chemical.ojas]

Plz find urgent ::Fourier Series problem?

Plz find urgent ::Fourier Series problem?
given function on (-L,L)
If f(x) is even(cosine series) ,odd(sine series) ,either(Fourier series)
what f is given on arbitrary interval(a,b) ?

 

[lanedance]

hey chemical.ojas, don't really follow your question, also you shoukld try and attempt a solution and show your working

 

[chemical.ojas]

hey lanedance
f(x) is given function its present on (-L,L)
If f(x) is shifted to arbitrary interval (a,b) then what will be the Fourier series.?
then i want cosine and sine series also.

i tried by considering standard Fourier series...but I have no Idea about how to shift the interval?
i have one hint
a intigral b f(x)=area/b-a = average
but i have no idea how to use this hint.I tried a lot on this.

 

[lanedance]

so what does it mean to shift f(x) from (-L,L) to (a,b)

does b-a = 2L or is the function stretched/compressed to fit in (a,b)?

either way, to start, I would write you Fourier sum explictly and apply the shift and have a think about what it tells you...