Dominated convergence theorem
Teorema de la convergencia dominada
- Date
- 1910 · confidence medium
- Place
- Paris, France
- Credited to
- Henri Lebesgue
- Field
- Knowledge & symbols
What was discovered
A theorem allowing the limit and the integral of a sequence of functions to be interchanged when they are bounded by an integrable function, published by Henri Lebesgue as a development of his integration theory.
What it led to
- A key advantage of Lebesgue integration over Riemann integration
- A standard tool in partial differential equations
- Basis for the convergence of expected values in probability theory
- Widespread use in functional analysis