Approximation of functions of class $H^p$, $0<p\leqslant1$

Definitive estimates are established for the approximation by Cesáro means $(C,\alpha)$, depending on the values of $\alpha$ ($-1<\alpha<\infty$), of the Taylor series of a function $f\in H^p$, $0<p\leqslant1$, on the boundary of the disk of convergence. The estimates are given in the metric of $H^p$.
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