DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Kil-Hyun | - |
dc.contributor.advisor | 권길헌 | - |
dc.contributor.author | Kim, Seong-Ho | - |
dc.contributor.author | 김성호 | - |
dc.date.accessioned | 2011-12-14T04:53:36Z | - |
dc.date.available | 2011-12-14T04:53:36Z | - |
dc.date.issued | 2000 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=158644&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42009 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학전공, 2000.2, [ 31 p. ] | - |
dc.description.abstract | In this thesis, we deal with the behavior of the best polynomial approximation in the inner product spaces $W^{N,2}[-1,1]$ and $W^{1,2}[0,∞ ;e^{-x}].$ We consider two different inner products in $W^{N,2}[-1,1]$, $W^{1,2}[0,∞ ;e^{-x}]$. We denote the best polynomial approximation in two different inner products by $B_{n,α}(x),$ $B_n(x),$ respectively in both inner product spaces. Then we have $\lim_{α→∞}B_{n,α(x)=B_n(x)$ in both inner product spaces. We see that the error of the best polynomial approximation alternates the sign. And the difference of the two best polynomial approximations in different inner products forms a Sobolev orthogonal polynomial system, besides, in $W^{N,2}[-1,1]$, which is complete with respect to the norm which comes from the inner product. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | OPS | - |
dc.subject | Sobolev space | - |
dc.subject | Best polynomial approximation | - |
dc.subject | Approximation | - |
dc.subject | 최적 근사 | - |
dc.subject | 근사 | - |
dc.subject | 직교다항식 | - |
dc.subject | 최적 다항식 근사 | - |
dc.subject | Best approximation | - |
dc.title | (The) study of the best polynomial approximation in the sobolev space | - |
dc.title.alternative | Sobolev 공간상에서 최적 다항식 근사에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 158644/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학전공, | - |
dc.identifier.uid | 000983097 | - |
dc.contributor.localauthor | Kwon, Kil-Hyun | - |
dc.contributor.localauthor | 권길헌 | - |
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