Approximation of functions and their derivatives by generalized sampling series일반화된 샘플링전개에 의한 함수들과 그 도함수들의 근사

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dc.contributor.advisorKwon, Kil-Hyun-
dc.contributor.advisor권길헌-
dc.contributor.authorKim, Sung-Il-
dc.contributor.author김성일-
dc.date.accessioned2011-12-14T04:56:27Z-
dc.date.available2011-12-14T04:56:27Z-
dc.date.issued2009-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=308730&flag=dissertation-
dc.identifier.urihttp://hdl.handle.net/10203/42197-
dc.description학위논문(석사) - 한국과학기술원 : 수리과학과, 2009.2, [ iii, 17 p. ]-
dc.description.abstractFor 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.languageeng-
dc.publisher한국과학기술원-
dc.subjectsampling-
dc.subjectapproximation-
dc.subjectderivative-
dc.subject샘플링-
dc.subject근사-
dc.subject도함수-
dc.subjectsampling-
dc.subjectapproximation-
dc.subjectderivative-
dc.subject샘플링-
dc.subject근사-
dc.subject도함수-
dc.titleApproximation of functions and their derivatives by generalized sampling series-
dc.title.alternative일반화된 샘플링전개에 의한 함수들과 그 도함수들의 근사-
dc.typeThesis(Master)-
dc.identifier.CNRN308730/325007 -
dc.description.department한국과학기술원 : 수리과학과, -
dc.identifier.uid020063075-
dc.contributor.localauthorKwon, Kil-Hyun-
dc.contributor.localauthor권길헌-
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