%0 Journal Article %T Lebesgue-type inequalities for de la Vallee Poussin sums and their interpolation analogues on the sets $(¦×,\bar¦Â)$-differentiable functions %A V. A. Voitovych %A A. P. Musienko %J Mathematics %D 2013 %I arXiv %X We obtain the estimates of steady rates of deviations of the de Vall\'{e}e Poussin sums and interpolation analogues of sums of Vall\'{e}e Poussin from the functions that belong to the space $C_{\bar{\beta}}^\psi L_s, \ 1\leq s\leq\infty$ and are represented through the best approximations of $(\psi,\bar{\beta})$-differentiable functions of this sort by trigonometric polynomials in the metric $L_s$ %U http://arxiv.org/abs/1308.4419v1