Sobolev exponents of Butterworth refinable functions
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Hong Oh | ko |
| dc.contributor.author | Kim, Rae Young | ko |
| dc.date.accessioned | 2013-03-06T20:14:48Z | - |
| dc.date.available | 2013-03-06T20:14:48Z | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.created | 2012-02-06 | - |
| dc.date.issued | 2008-05 | - |
| dc.identifier.citation | APPLIED MATHEMATICS LETTERS, v.21, no.5, pp.510 - 515 | - |
| dc.identifier.issn | 0893-9659 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/88301 | - |
| dc.description.abstract | The precise Sobolev exponent s(infinity)(phi(n)) of the Butterworth refinable function phi(n) associated with the Butterworth filter of order n, b(n)(xi) := cos(2n)(xi/2)/cos(2n)(xi/2)+sin(2n)(xi/2), is shown to be s(infinity) (phi(n)) = n log(2) 3 + log(2) (1 + 3(-n)). This recovers the previously given asymptotic estimate of s(infinity) (phi(n)) of Fan and Sun, and gives more accurate regularity of Butterworth refinable function phi(n). (C) 2007 Elsevier Ltd. All rights reserved. | - |
| dc.language | English | - |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
| dc.title | Sobolev exponents of Butterworth refinable functions | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000255529500015 | - |
| dc.identifier.scopusid | 2-s2.0-41049109207 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 21 | - |
| dc.citation.issue | 5 | - |
| dc.citation.beginningpage | 510 | - |
| dc.citation.endingpage | 515 | - |
| dc.citation.publicationname | APPLIED MATHEMATICS LETTERS | - |
| dc.identifier.doi | 10.1016/j.aml.2007.05.016 | - |
| dc.contributor.localauthor | Kim, Hong Oh | - |
| dc.contributor.nonIdAuthor | Kim, Rae Young | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Sobolev exponent | - |
| dc.subject.keywordAuthor | Butterworth filter | - |
| dc.subject.keywordAuthor | Butterworth refinable function | - |
| dc.subject.keywordAuthor | orthonormal cardinal function | - |
| dc.subject.keywordAuthor | Blaschke product | - |
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