Hyperbolic cross truncations for stochastic Fourier cosine series.
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 e...
| Publicado en: | Scientific World Journal pp. 265031 - 265032 |
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| Autor principal: | |
| Formato: | research Journal Article |
| Publicado: |
Wiley-Blackwell
2014
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=109676315&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 109676315 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1537744X 1BX5 jtl: Scientific World Journal issn: 1537744X maglogo: N pubinfo: dt: 2014 pid: 480 pub: Wiley-Blackwell place: Malden, Massachusetts artinfo: ui: 109676315 109676315 NLM25147842 2012693811 10.1155/2014/265031 NLM25147842 PMC4134834 109676315 ppf: 265031 ppct: 1 formats: tig: atl: Hyperbolic cross truncations for stochastic Fourier cosine series. aug: au: Zhang, Zhihua sug: subj: Models, Theoretical Algorithms Human Comparative Studies Multicenter Studies Evaluation Research Validation Studies Clinical Assessment Tools ab: 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. pubtype: Academic Journal doctype: research Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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