On Jackson Type Inequalities for the Best Approximations of Periodic Functions

Verfasser / Beitragende:
[V. Zhuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 210/5(2015-11-01), 654-663
Format:
Artikel (online)
ID: 605523851
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024 7 0 |a 10.1007/s10958-015-2584-1  |2 doi 
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100 1 |a Zhuk  |D V.  |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia  |4 aut 
245 1 0 |a On Jackson Type Inequalities for the Best Approximations of Periodic Functions  |h [Elektronische Daten]  |c [V. Zhuk] 
520 3 |a We develop a new approach to the proof of 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. The proposed approach is based on approximation methods constructed by using Fejer and Jackson-Vallee - Poussin classical kernels. Bibliography: 14 titles. 
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 210/5(2015-11-01), 654-663  |x 1072-3374  |q 210:5<654  |1 2015  |2 210  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Zhuk  |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 210/5(2015-11-01), 654-663  |x 1072-3374  |q 210:5<654  |1 2015  |2 210  |o 10958