integrerbart
Integrerbart is a term used in Swedish mathematics to describe when a function can be assigned a finite integral under a given theory of integration. In common usage, integrerbarhet is tied to the standard notions of integrability in analysis, most often with respect to a measure.
The most widely used notion is Lebesgue integrability. A real- or complex-valued function f defined on a
A more classical notion is Riemann integrability, applicable to functions on a finite interval [a, b]. A
Examples illustrate the concept: the function f(x) = 1/√x on [0, 1] is Lebesgue integrable, with ∫0^1
See also: Lebesgue integration, Riemann integration, L1 space, measure theory.