Tractability properties of the discrepancy in Orlicz norms

10/28/2019

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by   Josef Dick, et al.

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We show that the minimal discrepancy of a point set in the d-dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the ψ_α-norms of exponential Orlicz spaces are polynomially tractable.