Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Based on our decomposition of stochastic processes and our asymptotic representations of Fourier cosine coefficients, we deduce an asymptotic formula of approximation errors of hyperbolic cross truncations for bivariate stochastic Fourier cosine series.
Moreover we propose a kind of Fourier cosine expansions with polynomials factors such that the corresponding Fourier cosine coefficients decay very fast.
Although our research is in the setting of stochastic processes, our results are also new for deterministic functions.
American Psychological Association (APA)
Zhang, Zhihua. 2014. Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1048969
Modern Language Association (MLA)
Zhang, Zhihua. Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series. The Scientific World Journal No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1048969
American Medical Association (AMA)
Zhang, Zhihua. Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1048969
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048969