Improvement of Jackson Type Inequalities for Moduli of Continuity of Order 4, 6, 8

Verfasser / Beitragende:
[O. Vinogradov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 210/5(2015-11-01), 622-634
Format:
Artikel (online)
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100 1 |a Vinogradov  |D O.  |u St. Petersburg State University, 28, Universitetskii pr., 198504, St. Petersburg, Russia  |4 aut 
245 1 0 |a Improvement of Jackson Type Inequalities for Moduli of Continuity of Order 4, 6, 8  |h [Elektronische Daten]  |c [O. Vinogradov] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/5(2015-11-01), 622-634  |x 1072-3374  |q 210:5<622  |1 2015  |2 210  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Vinogradov  |D O.  |u St. Petersburg State University, 28, Universitetskii pr., 198504, 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 210/5(2015-11-01), 622-634  |x 1072-3374  |q 210:5<622  |1 2015  |2 210  |o 10958