2017
Том 69
№ 12

# On the Lebesgue Inequality on Classes of $\bar{\psi}$ -Differentiable Functions

Abstract

We consider the deviations of Fourier sums in the spaces ${C^{\bar{\psi}}}$. The estimates of these deviations are expressed via the best approximations of the $\bar{\psi}$ -derivatives of functions in the Stepanets sense. The sequences $\bar{\psi} = (ψ_1, ψ_2)$ are quasiconvex.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 938-944.

Citation Example: Zaderei N. N., Zaderei P. V. On the Lebesgue Inequality on Classes of $\bar{\psi}$ -Differentiable Functions // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 844–849.

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