释义 |
Lebesgue IntegrableA real-valued function defined on the reals is called Lebesgue integrable if there exists a Sequenceof Step Functions such that the following two conditions are satisfied: - 1.
, - 2.
for every such that . Here, the above integral denotes the ordinary Riemann Integral. Note that this definition avoids explicit use ofthe Lebesgue Measure.See also Integral, Lebesgue Integral, Riemann Integral, Step Function
|