Of an infinite series: having the property that the sequence of partial sums converges to a definite value, which is taken as the sum of the series; = "convergent". Also: designating an infinite sequence whose associated series has this property.
Designating an infinite series which, according to any of several criteria other than convergence of its partial sums, may be considered as having a sum.
Designating a measurable function for which the Lebesgue integral exists and is finite.