Order estimates of the best approximations and approximations of Fourier   sums of classes of convolutions of periodic functions of not high smoothness   in uniform metric
  We obtain exact for order estimates of best uniform approximations and uniform approximations by Fourier sums of classes of convolutions the periodic functions belong to unit balls of spaces $L_{p}, \ {1\leq p<\infty}$, with generating kernel $\Psi_{\beta}$, whose absolute values of Fourier coefficients $\psi(k)$ are such that $\sum\limits_{k=1}^{\infty}\psi^{p'}(k)k^{p'-2}<\infty$, $\frac{1}{p}+\frac{1}{p'}=1$, and product $\psi(n)n^{\frac{1}{p}}$ can't tend to nought faster than power functions. 
A.S. Serdyuk, T.A. Stepaniuk
math.CA