Monday, 23 September 2013

integration - How to show the following inequality in Measure Theory

How to show the following inequality in Measure Theory:





If f is a non-negative measurable function defined on a measurable set E then for any λ>0 we have m{xE:f(x)>λ}1λEf where m denotes measure of a set




I can't figure out how to approach the above problem.Please give some hints.

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