Correction

In my article (S. A. Telyakovskii, “Approximation of functions differentiable in the Weyl sense by Vallée-Poussin sums”), published in DAN, vol. 131, no. 2, 1960, the following corrections must be made.

In formula (13), the second term on the right must have the form

[
O\left(\frac{1}{n}\sqrt{\frac{n-m}{n}\log\frac{n}{\,n-m\,}}\right).
]

In formula (14), in the denominator of the principal term, the factor (p^{r-1}) has been omitted.

In Sec. 3, concerning the function (f(x)), it should additionally be assumed that (a_0=0).

S. A. Telyakovskii