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http://hdl.handle.net/20.500.12188/20062
Title: | The weighted diaphony | Authors: | Dimitrievska Ristovska, Vesna Grozdanov, Vassil |
Keywords: | weighted diaphony, diaphony, worst-case error | Issue Date: | 2006 | Journal: | COMPTES RENDUS-ACADEMIE BULGARE DES SCIENCES | Abstract: | In the present paper the authors introduce a new quantitative measure for uniform distribution of sequences in [0, 1)s , the so-called “weighted diaphony.” The definition of the weighted diaphony is based on using the trigonometric functional system. At a special choice of the parameters α and γ on which the weighted diaphony depends, the “classical” diaphony introduced by Zinterhof is obtained. It is shown that the computing complexity of the weighted diaphony of an arbitrary net composed of N points in [0, 1)s is O(S.N2 ). Relationship between the worst-case error of the quasi-Monte Carlo integration in a class of weighted Hilbert space and the weighted diaphony is obtained. | URI: | http://hdl.handle.net/20.500.12188/20062 |
Appears in Collections: | Faculty of Computer Science and Engineering: Journal Articles |
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