caa a22 4500 605522553 CHVBK 20210128100745.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2409-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2409-2 Some Inequalities for Trigonometric Polynomials and Fourier Coefficients [Elektronische Daten] [V. Zhuk, G. Puerov] The Bernstein inequalities for trigonometric polynomials are generalized. For sums of Fourier coefficients, upper bounds with certain constants in terms of quantities characterizing structural properties of functions are obtained. Bibliography: 9 titles. Springer Science+Business Media New York, 2015 Zhuk V. St. Petersburg State University, St. Petersburg, Russia aut Puerov G. JSC "Concern ‘Oceanpribor',” St. Petersburg, ITMO University, St. Petersburg, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 845-856 1072-3374 207:6<845 2015 207 10958 https://doi.org/10.1007/s10958-015-2409-2 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/s10958-015-2409-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhuk V. St. Petersburg State University, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Puerov G. JSC "Concern ‘Oceanpribor',” St. Petersburg, ITMO University, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/6(2015-06-01), 845-856 1072-3374 207:6<845 2015 207 10958