On necessary and sufficient conditions for convergence of sinc-approximations
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A. Yu. Trynin
Translated by: A. Plotkin - St. Petersburg Math. J. 27 (2016), 825-840
- DOI: https://doi.org/10.1090/spmj/1419
- Published electronically: July 26, 2016
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Abstract:
Necessary and sufficient conditions are obtained for the convergence of sinc-approximations on a segment. Approximation properties of various modifications of sinc-approximations for continuous functions on a segment are studied. The Gibbs phenomenon near the ends of the segment is analyzed.References
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Bibliographic Information
- A. Yu. Trynin
- Affiliation: Saratov State University, Astrakhanskaya str. 83, Saratov 410012, Russia
- Email: atrynin@gmail.com
- Received by editor(s): July 25, 2014
- Published electronically: July 26, 2016
- Additional Notes: Supported by the Ministry of Education of RF (project no. 1.15.20.2014/K)
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 825-840
- MSC (2010): Primary 41A30
- DOI: https://doi.org/10.1090/spmj/1419
- MathSciNet review: 3582946