Approximations of Periodic Functions by Analogue of Zygmund Sums in the Spaces $\boldsymbol{L^{p(\cdot)}}$

Stanislav Chaichenko

We found order estimates for the upper bounds of the deviations of analogue of Zygmund's sums on the classes of $(\psi;\beta)$-differentiable functions in the metrics of generalized Lebesgue spaces with variable exponent.