DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Kil-Hyun | - |
dc.contributor.advisor | 권길헌 | - |
dc.contributor.author | Kim, Sung-Il | - |
dc.contributor.author | 김성일 | - |
dc.date.accessioned | 2011-12-14T04:56:27Z | - |
dc.date.available | 2011-12-14T04:56:27Z | - |
dc.date.issued | 2009 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=308730&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42197 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수리과학과, 2009.2, [ iii, 17 p. ] | - |
dc.description.abstract | For any bounded function $f(t)$ defined on $\mathbb{R}$ and continuous at $t \in \mathbb{R}$, we consider a generalized sampling series given by $(S_{W}^{\varphi}f) (t) := \sum_{k\in \mathbb{Z}} f(\frac{k}{W}) \varphi(Wt-k),~~~(t \in \mathbb{R} ;W>0)$. we find sufficient conditions on the reconstruction function $\varphi(t)$, under which we have $\partial_t^{n} (S_{W}^{\varphi}f) (t) = \sum_{k\in \mathbb{Z}} f(\frac{k}{W}) \partial_t^{n} \varphi(Wt-k)$ converges to $f^{(n)}(t)$ as $W \rightarrow \infty$. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | sampling | - |
dc.subject | approximation | - |
dc.subject | derivative | - |
dc.subject | 샘플링 | - |
dc.subject | 근사 | - |
dc.subject | 도함수 | - |
dc.subject | sampling | - |
dc.subject | approximation | - |
dc.subject | derivative | - |
dc.subject | 샘플링 | - |
dc.subject | 근사 | - |
dc.subject | 도함수 | - |
dc.title | Approximation of functions and their derivatives by generalized sampling series | - |
dc.title.alternative | 일반화된 샘플링전개에 의한 함수들과 그 도함수들의 근사 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 308730/325007 | - |
dc.description.department | 한국과학기술원 : 수리과학과, | - |
dc.identifier.uid | 020063075 | - |
dc.contributor.localauthor | Kwon, Kil-Hyun | - |
dc.contributor.localauthor | 권길헌 | - |
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