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 inNumerical functional analysis and optimization Vol. 23; no. 7-8; pp. 695 - 704
Main Author Atreas, Nikolaos D.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.11.2002
Subjects
Online AccessGet full text
ISSN0163-0563
1532-2467
DOI10.1081/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.
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10.1007/BF01257192
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References Young R.M. (CIT6265-8) 1980
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Jerri A. (CIT6265-5) 1993
Walter G.G. (CIT6265-7) 1994
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Zayed A.I. (CIT6265-9) 1993
Butzer P.L. (CIT6265-3) 1988; 90
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  publication-title: Jber. D. Dt. Math.-Verein
– volume-title: Advanced Topics in Shannon Sampling and Interpolation Theory
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– volume-title: An Introduction to Non-Harmonic Fourier Series
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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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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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