TY - JOUR
T1 - Integration and approximation of multivariate functions
T2 - Average case complexity with isotropic wiener measure
AU - Wasilkowski, G. W.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1993/4
Y1 - 1993/4
N2 - We study the average case complexity of multivariate integration and L2 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.
AB - We study the average case complexity of multivariate integration and L2 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.
UR - http://www.scopus.com/inward/record.url?scp=84967708645&partnerID=8YFLogxK
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U2 - 10.1090/S0273-0979-1993-00379-3
DO - 10.1090/S0273-0979-1993-00379-3
M3 - Comment/debate
AN - SCOPUS:84967708645
SN - 0273-0979
VL - 28
SP - 308
EP - 314
JO - Bulletin of the American Mathematical Society
JF - Bulletin of the American Mathematical Society
IS - 2
ER -