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i have a hard problem, i guess so,

i am looking for any help

thanks for any helpCode (Text):

g(x) is a bounded Lebesgue measurable function that is periodic

i.e. [tex]g(x)=g(x+p)[/tex]. Then for every [tex]f \in L^1(\Re)[/tex]

[tex]lim_{n\rightarrow \infty}\int_{\Re}f(x)g(nx) dx=(\int_{\Re}f(x)dx)((1/p){\int_{0}^{p}g(x) dx)[/tex]

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# Bounded integrable periodic function

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