  For functions from the set of generalized Poisson integrals
$C^{\alpha,r}_{\beta}L_{p}$, $1\leq p <\infty$, we obtain upper estimates for
the deviations of Fourier sums in the uniform metric in terms of the best
approximations of the generalized derivatives $f^{\alpha,r}_{\beta}$ of
functions of this kind by trigonometric polynomials in the metric of the spaces
$L_{p}$. Obtained estimates are asymptotically best possible.
