NEW BOUNDS FOR TRUNCATION-TYPE ERRORS ON REGULAR SAMPLING EXPANSIONS
We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of . These estimates lower the well known Jagerman's bound on Shannon's sampling expansions.
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| Published in | Numerical functional analysis and optimization Vol. 23; no. 7-8; pp. 695 - 704 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.11.2002
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0163-0563 1532-2467 |
| DOI | 10.1081/NFA-120016265 |
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| Abstract | We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of
. These estimates lower the well known Jagerman's bound on Shannon's sampling expansions. |
|---|---|
| AbstractList | We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of
. These estimates lower the well known Jagerman's bound on Shannon's sampling expansions. |
| Author | Atreas, Nikolaos D. |
| Author_xml | – sequence: 1 givenname: Nikolaos D. surname: Atreas fullname: Atreas, Nikolaos D. organization: Department of Mathematics , Aristotle University of Thessaloniki |
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| Cites_doi | 10.1007/BF02570568 10.1023/A:1010193314045 10.1137/0114060 10.1007/BF01257192 |
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| Copyright | Copyright Taylor & Francis Group, LLC 2002 |
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| References | Young R.M. (CIT6265-8) 1980 CIT6265-1 CIT6265-2 Jerri A. (CIT6265-5) 1993 Walter G.G. (CIT6265-7) 1994 CIT6265-4 CIT6265-6 Zayed A.I. (CIT6265-9) 1993 Butzer P.L. (CIT6265-3) 1988; 90 |
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| Snippet | We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of
. These estimates lower the well known... |
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| StartPage | 695 |
| SubjectTerms | Mathematics Subject Classification Regular function Sampling expansion Truncation error |
| Title | NEW BOUNDS FOR TRUNCATION-TYPE ERRORS ON REGULAR SAMPLING EXPANSIONS |
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