%0 Journal Article
%T Integration and approximation of multivariate functions: average case complexity with isotropic Wiener measure
%A Grzegorz W. Wasilkowski
%J Mathematics
%D 1993
%I arXiv
%X We study the average case complexity of multivariate integration and $L_2$ function approximation for the class $F=C([0,1]^d)$ of continuous functions of $d$ variables. The class $F$ is endowed with the isotropic Wiener measure (Brownian motion in Levy's sense). Furthermore, for both problems, only function values are used as data.
%U http://arxiv.org/abs/math/9304216v1