DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, D.H. | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-03-04T19:13:15Z | - |
dc.date.available | 2013-03-04T19:13:15Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | JOURNAL OF APPLIED MATHEMATICS, v.1, no.2, pp.69 - 90 | - |
dc.identifier.issn | 1110-757X | - |
dc.identifier.uri | http://hdl.handle.net/10203/83778 | - |
dc.description.abstract | When σ is a quasi-definite moment functional with themonic orthogonal polynomial system {Pn (x)}n=0=0, we consider a point masses perturbation τ of σ given by τ: = σ + λ Σ l=1 Σk=0 ((- 1)ulk/k!) δ (x-cl), where λ, ulk, and cl areconstants with ci ≠ cj for i ≠ j. That is, τ is a generalized Uvarov transform of σ satisfying A (x) τ = A (x) σ, where A (x) = ∏ l = 1 (x - cl)1. We find necessary and sufficient conditions for τ to be quasi-definite. We also discuss various properties of monic orthogonal polynomial system {Rn (x)}n=0 relative to τ including two examples. | - |
dc.language | English | - |
dc.publisher | Hindawi Publishing Corporation | - |
dc.title | Quasi-definiteness of generalized Uvarov transforms of moment functionals | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-34547572211 | - |
dc.type.rims | ART | - |
dc.citation.volume | 1 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 69 | - |
dc.citation.endingpage | 90 | - |
dc.citation.publicationname | JOURNAL OF APPLIED MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Kim, D.H. | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.