This operator's namesake proved the dominated convergence theorem, which establishes conditions for which pointwise convergence commutes with this operation.
An alternative version of this operation was conceived by and named for Percy Daniell, while Fatou's lemma states that this operation on a limit approaching infinity is less than or equal to the limit approaching infinity of this operation. This operator's namesake proved the dominated convergence theorem, which establishes conditions for which pointwise convergence commutes with this operation. The monotone convergence theorem does not work on this operation's predecessor, and that namesake's eponymous measure provides the grounding with which a function is integrated. For 10 points, name this type of integration, a generalization of the Riemann integral named for a Frenchman.
An alternative version of this operation was conceived by and named for Percy Daniell, while Fatou's lemma states that this operation on a limit approaching infinity is less than or equal to the limit approaching infinity of this operation.
Lebesgue integral or Lebesgue integration [prompt on integral or integration until "namesake"]