I am studying 'ANALYSIS by Lieb and Loss '...
usually lebesgue integral is defined in terms of simple function
But
In this book, integral is defined in terms of Riemann Integration !!!
of course,
is measure, f is measurable.
LHS -> general (lebesgue) integration
RHS -> Riemann integration
Have you ever seen this definition in any other books?
If so, which book ? I need Reference .. HELP ME PLEASE!!
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P.S. Sorry for poor english.. and I am not asking why equality holds..