pointwise convergence

(redirected from Almost everywhere convergence)

pointwise convergence

[′pȯint‚wīz kən′vər·jəns]
(mathematics)
A sequence of functions ƒ1, ƒ2,… defined on a set S converges pointwise to a function ƒ if the sequence ƒ1(x), ƒ2(x),… converges to ƒ(x) for each x in S.
References in periodicals archive ?
In this paper, we are interested in the almost everywhere convergence as R [right arrow] [infinity], of the partial sums [S.
2, and since almost everywhere convergence holds for functions on S(R), which is a dense subset of [L.
MUCKENHOUPT, Equiconvergence and almost everywhere convergence of Hermite and Laguerre series, SIAM.