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Международная конференция по функциональным пространствам и теории приближения функций, посвященная 110-летию со дня рождения академика С. М. Никольского
27 мая 2015 г. 14:30–14:55, Приближения функций и гармонический анализ, г. Москва, МИАН
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Approximation by polynomials in Bergman spaces
R. Akgun
Balıkesir University
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Аннотация:
The purpose of this work is to obtain Jackson and converse inequalities of
polynomial approximation in Bergman spaces. Some known results, proved for
moduli of continuity, are extended to the moduli of smoothness. We proved
some simultaneous approximation theorems and obtained the Nikolskii-Stechkin
inequality for polynomials in these spaces.
Дополнительные материалы:
abstract.pdf (73.5 Kb)
Язык доклада: английский
Список литературы
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M. Sh. Shabozov, O. Sh. Shabozov, “Best approximation and the value of the widths of some classes of functions in the Bergman space $B_{p}$, $1\leq p\leq \infty$”, Dokl. Akad. Nauk, 410:4 (2006), 661–664
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E. A. Storozhenko, “On a Hardy–Littlewood problem”, Mat. Sb. (N.S.), 119 (161):4 (1982), 564–583
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Xing Fu Chong, “A Bernstein-type inequality in Bergman spaces $B_{q}^{p}$, $p>0$, $q>1$”, Acta Math. Sinica (Chin. Ser.), 49:2 (2006), 431–434
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Обратная связь: