Constants in Jackson Type Inequalities for the Best Approximation of Periodic Functions Such that Some of Their Fourier Coefficients Vanish
Gespeichert in:
Verfasser / Beitragende:
[V. Zhuk, V. Bure]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/2(2015-05-01), 218-225
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2367-8 |2 doi |
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| 245 | 0 | 0 | |a Constants in Jackson Type Inequalities for the Best Approximation of Periodic Functions Such that Some of Their Fourier Coefficients Vanish |h [Elektronische Daten] |c [V. Zhuk, V. Bure] |
| 520 | 3 | |a We consider the class of continuous 2π-periodic functions such that some of their Fourier coefficients vanish. For such functions we study constants in a generalized Jackson theorem providing an estimate for the best approximation by trigonometric polynomials with the help of the moduli of continuity of an arbitrary order. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Zhuk |D V. |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia |4 aut | |
| 700 | 1 | |a Bure |D V. |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 218-225 |x 1072-3374 |q 207:2<218 |1 2015 |2 207 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2367-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhuk |D V. |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bure |D V. |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 218-225 |x 1072-3374 |q 207:2<218 |1 2015 |2 207 |o 10958 | ||