  We find asymptotic equalities for exact upper bounds of approximations by
Fourier sums in uniform metric on classes of $2\pi$-periodic functions,
representable in the form of convolutions of functions $\varphi$, which belong
to unit balls of spaces $L_{p}$, with generalized Poisson kernels. For obtained
asymptotic equalities we introduce the estimates of remainder, which are
expressed in the explicit form via the parameters of the problem.
