Some Inequalities for Trigonometric Polynomials and Fourier Coefficients

Verfasser / Beitragende:
[V. Zhuk, G. Puerov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 845-856
Format:
Artikel (online)
ID: 605522553
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024 7 0 |a 10.1007/s10958-015-2409-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2409-2 
245 0 0 |a Some Inequalities for Trigonometric Polynomials and Fourier Coefficients  |h [Elektronische Daten]  |c [V. Zhuk, G. Puerov] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Zhuk  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
700 1 |a Puerov  |D G.  |u JSC "Concern ‘Oceanpribor',” St. Petersburg, ITMO University, St. Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/6(2015-06-01), 845-856  |x 1072-3374  |q 207:6<845  |1 2015  |2 207  |o 10958 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhuk  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Puerov  |D G.  |u JSC "Concern ‘Oceanpribor',” St. Petersburg, ITMO University, 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 207/6(2015-06-01), 845-856  |x 1072-3374  |q 207:6<845  |1 2015  |2 207  |o 10958