Abstract:
For the Dirichlet classes Dp of holomorphic functions in the disk, we obtain the exact orders of best polynomial approximations and of upper bounds for deviations of Fejér means of Taylor series in the Hardy spaces Hp.
Keywords:
Dirichlet class of holomorphic functions, Fejér mean, best polynomial approximation, Taylor series, Hardy space, Fubini theorem, Riesz theorem.
Citation:
V. V. Savchuk, “Approximation of Functions of Dirichlet Class by Fejér Means”, Mat. Zametki, 81:5 (2007), 744–750; Math. Notes, 81:5 (2007), 665–670