, it is shown that the rate of approximation of the boundary function by the generalized Abel–Poisson means is equivalent to the modulus of smoothness of fractional order. All estimates are carried out in the $L_{2\pi}^p$.
@article{SM_2001_192_11_a5,
author = {S. G. Pribegin},
title = {A~method of approximation in $H^p$, $0<p\leqslant 1$},
journal = {Sbornik. Mathematics},
pages = {1705--1719},
year = {2001},
volume = {192},
number = {11},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2001_192_11_a5/}
}
S. G. Pribegin. A method of approximation in $H^p$, $0
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