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Any measurable function can be approximated by simple function? - Answers

Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).



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Any measurable function can be approximated by simple function? - Answers

https://math.answers.com/other-math/Any_measurable_function_can_be_approximated_by_simple_function

Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).



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https://math.answers.com/other-math/Any_measurable_function_can_be_approximated_by_simple_function

Any measurable function can be approximated by simple function? - Answers

Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).

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      Yes. For every measurable function, f there's a sequence of simple functions Fn that converge to f m-a.e (wich means for each e>0, there's X' such that Fn|x' -->f|x' and m(X\X')<e).

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