The Lebesgue integral is one of the most important and powerful tools in mathematical analysis. The Lebesgue integral can be defined in very general settings and the vector space of real or complex valued Lebesgue integrable functions can be organized...

In mathematics, the integral of a nonnegative function can be regarded in the simplest case as the area between the graph of that function and the x-axis. Lebesgue integration is a mathematical construction that extends the integral to a larger class of...