Geodesic
Approximation of Functions of Dirichlet Class by Fej\'er Means
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 744-750

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For the Dirichlet classes $\mathscr D_p$ 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 $H_p$.
Keywords: Dirichlet class of holomorphic functions, Fejér mean, best polynomial approximation, Taylor series, Hardy space, Fubini theorem, Riesz theorem. 
@article{MZM_2007_81_5_a11,
     author = {V. V. Savchuk},
     title = {Approximation of {Functions} of {Dirichlet} {Class} by {Fej\'er} {Means}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {744--750},
     publisher = {mathdoc},
     volume = {81},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a11/}
}
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V. V. Savchuk. Approximation of Functions of Dirichlet Class by Fej\'er Means. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 744-750. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a11/