@article{Serdyuk_2005, title={Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$}, volume={57}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3693}, abstractNote={Asymptotic equalities are established for upper bounds of approximants by Fourier partial sums in a metric of spaces $L_p,\quad 1 \leq p \leq \infty$ on classes of the Poisson integrals of periodic functions belonging to the unit ball of the space $L_1$. The results obtained are generalized to the classes of $(\psi, \overline{\beta})$-differentiable functions (in the Stepanets sense) that admit the analytical extension to a fixed strip of the complex plane.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={SerdyukA. S.}, year={2005}, month={Oct.}, pages={1395–1408} }