caa a22 4500 605523819 CHVBK 20210128100751.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2581-4 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2581-4 Vinogradov O. St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia aut Improvement of Jackson Type Inequalities for Moduli of Continuity of Order 4, 6, 8 [Elektronische Daten] [O. Vinogradov] We prove estimates for the best approximations by entire functions of exponential type in terms of the moduli of continuity of order 4, 6, and 8. The constants in the obtained estimates are less than the known constants in such estimates for some values of step. All the obtained estimates are realized by linear approximation methods. Bibliography: 7 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 622-634 1072-3374 210:5<622 2015 210 10958 https://doi.org/10.1007/s10958-015-2581-4 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/s10958-015-2581-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Vinogradov O. 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), 622-634 1072-3374 210:5<622 2015 210 10958