An Analog of the Haar Condition for Simple Partial Fractions
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2435-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2435-0 | ||
| 100 | 1 | |a Komarov |D M. |u A. G. and N. G. Stoletov Vladimir State University, 87, Gor'kogo St., 600000, Vladimir, Russia |4 aut | |
| 245 | 1 | 3 | |a An Analog of the Haar Condition for Simple Partial Fractions |h [Elektronische Daten] |c [M. Komarov] |
| 520 | 3 | |a We prove that for a continuous real-valued function f on the segment [−1, 1] a real-valued simple partial fraction R n with n distinct poles outside the unit disk is a fraction of degree at most n of best approximation and is unique if and only if for the difference f − R n on [−1, 1] there exists a Chebyshev alternance of n + 1 points. The result is applied to the problem on approximation of real constants. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/2(2015-07-01), 174-180 |x 1072-3374 |q 208:2<174 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2435-0 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2435-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Komarov |D M. |u A. G. and N. G. Stoletov Vladimir State University, 87, Gor'kogo St., 600000, Vladimir, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/2(2015-07-01), 174-180 |x 1072-3374 |q 208:2<174 |1 2015 |2 208 |o 10958 | ||