DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Kil-Hyun | - |
dc.contributor.advisor | 권길현 | - |
dc.contributor.author | Han, Sung-Soo | - |
dc.contributor.author | 한성수 | - |
dc.date.accessioned | 2011-12-14T04:38:22Z | - |
dc.date.available | 2011-12-14T04:38:22Z | - |
dc.date.issued | 1995 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=101849&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41778 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수학과, 1995.8, [ [ii], 65 p. ] | - |
dc.description.abstract | We generalize the Skrzipek``s methods in the case of Sobolev type inner products and consider the following problem : Generate a sequence $\{Q_n\}$ of polynomials, $deg(Q_n)=n$, orthogonal with respect to inner product defined by $$(f,g)=\int_I fg\, d\mu+ \sum_{p,q=1}^K\sum_{i=0}^{n_p-1}\sum_{j=0}^{n_q-1} \lambda_{p,q}^{i,j} f^{(i)}(c_p)g^{(j)}(c_q), $$ where $d\mu$ is a positive measure on an interval I, $n_p$, $1\le p\le K$ are nonnegative intergers, $c_p\in R$ and $\lambda_{p,q}^{i,j}= \lambda_{q,p}^{j,i}\ge0$. Next, We are concerned with the representation formula and behavior of zeros of Sobolev orthogonal polynomials which are orthogonal relative to a Sobolev pseudo-inner product of type $$ \phi (p,q) := \int_I p(x)q(x)\, d\sigma (x) + \int_{I^{\prime}} p^{\prime}(x) q^{\prime}(x)\, d\mu (x),$$ where $d\sigma$ and $d\mu\, (\ne 0)$ are Borel measures on intervals I and $I^{\prime}$ respectively. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | 직교다항식 | - |
dc.subject | Sobolev 형의 내적 | - |
dc.subject | Sobolev Type Inner Product | - |
dc.subject | Orthogonal Polynomials | - |
dc.title | On Sobolev type orthogonality | - |
dc.title.alternative | Sobolev 형의 직교성에 관하여 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 101849/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000885529 | - |
dc.contributor.localauthor | Kwon, Kil-Hyun | - |
dc.contributor.localauthor | 권길현 | - |
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