Видеотека: R. Akgun, Approximation by polynomials in Bergman spaces

ВИДЕОТЕКА


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, г. Москва, МИАН

Approximation by polynomials in Bergman spaces R. Akgun Balıkesir University
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. Язык доклада: английский Список литературы 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 E. A. Storozhenko, “On a Hardy–Littlewood problem”, Mat. Sb. (N.S.), 119 (161):4 (1982), 564–583 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