Sufficient conditions (the Boas-Telyakovskii conditions) on the coefficients of multiple trigonometric series are found that guarantee integrability of the sums of these series. Under these… Expand

The article is devoted to the 90th anniversary of famous Ukrainian scientist. We are talking about professor of mathematics Nina Virchenko. We cover her tough life journey, scientific, educational… Expand

We estimate the deviations of Taylor’s sums in the classes of analytic functions H∞ψ$$ {H}_{{}^{\infty}}^{\psi } $$ expressed via the best approximations of theψ-derivatives of functions by using the… Expand

We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions.