Corrections

In N. P. Korneichuk’s article “On the approximation of periodic functions satisfying a Lipschitz condition by Bernstein–Rogozinskii sums,” published in DAN, vol. 125, no. 2, 1959, formula (11) should read

\[ \mathcal{E}_n(\alpha,\beta)\le \frac{1}{(n+1)^\alpha} \left\{ \left(\frac{\pi}{2}+\varepsilon_n\right)\alpha+ \left(\frac{1}{2}+\frac{1}{\pi}\operatorname{si}\pi\right)(1-\alpha) \right\} +\frac{\alpha c_n}{(n+1)^{\alpha+1}}. \tag{11} \]

In my article, published in DAN, vol. 126, no. 3, 1959 (M. I. Kiselev, “On the calculation of shock waves in magnetohydrodynamics”), the factor \((k+1)\) was omitted before the last term of equation (6). It should read:

\[ -(k+1)V_{1x}^{2}h_{1y}p_1 \left(1-\frac{u_{1x}^{2}}{V_{1x}^{2}}\right)=0. \]

M. I. Kiselev

T-00242   Signed for printing 23 I 1960. Print run 5100 copies.   Order 2466
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