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Beschreibung
In this book the hybrid weighted diaphony as a measure for the irregularity of distribution of sequences is introduced. The computing complexity of the hybrid weighted diaphony is shown. A function class which is a reproducing kernel Hilbert space is introduced and a formula for the worst-case error of the quasi-Monte Carlo integration in this space is given. It is shown that the worst-case error and the hybrid weighted diaphony of the net of nodes of the integration with exactness of multiplicative constant are equal. An inequality of the type of Erdos-Turan-Koksma for the hybrid weighted diaphony of an arbitrary net is shown.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 02. Mai 2017 |
| Maße | 22 cm x 15 cm x 1.5 cm |
| Gewicht | 387 Gramm |
| Format | Softcover |
| ISBN-13 | 9783330046283 |
| Seiten | 248 |
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