Ве молиме користете го овој идентификатор да го цитирате или поврзете овој запис: http://hdl.handle.net/20.500.12188/20062
Наслов: 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

Files in This Item:
File Опис SizeFormat 
6_02-05.pdf159.85 kBAdobe PDFView/Open
Прикажи целосна запис

Page view(s)

52
checked on 3.5.2025

Download(s)

12
checked on 3.5.2025

Google ScholarTM

Проверете


Записите во DSpace се заштитени со авторски права, со сите права задржани, освен ако не е поинаку наведено.