caa a22 4500 605522243 CHVBK 20210128100744.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10958-015-2244-5 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2244-5 On Constants in the Generalized Jackson Theorem [Elektronische Daten] [V. Zhuk, V. Bure] We consider the generalized Jackson theorem concerning estimates for the best approximation by trigonometric polynomials via the moduli of continuity of an arbitrary order. We improve the known estimates for moduli of continuity of the 4th and 6th order. Bibliography: 8 titles. Springer Science+Business Media New York, 2015 Zhuk V. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut Bure V. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/2(2015-02-01), 240-246 1072-3374 205:2<240 2015 205 10958 https://doi.org/10.1007/s10958-015-2244-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2244-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhuk V. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Bure V. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/2(2015-02-01), 240-246 1072-3374 205:2<240 2015 205 10958