On the Power of Standard Information for Weighted Approximation

Abstract

We study weighted approximation of multivariate functions for classes of standard and linear information in the worst case and average case settings. Under natural assumptions, we show a relation between nth minimal errors for these two classes of information. This relation enables us to infer convergence and error bounds for standard information, as well… (More)
DOI: 10.1007/s102080010016

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