Constants in Jackson Type Inequalities for the Best Approximation of Periodic Functions Such that Some of Their Fourier Coefficients Vanish

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)
ID: 605522855
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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 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