2019
Том 71
№ 1

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Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals

Stepanets O. I.

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Abstract

We study functionals that characterize the strong summation of Fourier series on sets of $\bar{\psi}$−integrals in the uniform and integral metrics. As a result, we obtain estimates exact in order for the best approximations of functions from these sets by trigonometric polynomials.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 12, pp 1892–1916.

Citation Example: Stepanets O. I. Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals // Ukr. Mat. Zh. - 1999. - 51, № 12. - pp. 1673-1693.

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