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- W1498985038 abstract "The symmetrized Hammersley point set is known to achieve the best possible rate for the L2-norm of the discrepancy function. Also lower bounds for the norm in Besov spaces with dominating mixed smoothness are known. In this paper a large class of point sets which are generalizations of the Hammersley type point sets are proved to asymptotically achieve the known lower bound of the Besov norm. The proof uses a b-adic generalization of the Haar system. This result can be regarded as a preparation for the proof in arbitrary dimension." @default.
- W1498985038 created "2016-06-24" @default.
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- W1498985038 date "2013-01-01" @default.
- W1498985038 modified "2023-09-27" @default.
- W1498985038 title "DISCREPANCY OF GENERALIZED HAMMERSLEY TYPE POINT SETS IN BESOV SPACES WITH DOMINATING MIXED SMOOTHNESS" @default.
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