caa a22 4500 605523851 CHVBK 20210128100751.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2584-1 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2584-1 Zhuk V. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut On Jackson Type Inequalities for the Best Approximations of Periodic Functions [Elektronische Daten] [V. Zhuk] 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. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 654-663 1072-3374 210:5<654 2015 210 10958 https://doi.org/10.1007/s10958-015-2584-1 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/s10958-015-2584-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhuk 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 210/5(2015-11-01), 654-663 1072-3374 210:5<654 2015 210 10958