2017
Том 69
№ 7

All Issues

Approximation of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p = 1, \infty$

Myronyuk V. V.

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Abstract

We obtain an exact-order estimate for the deviation of Fourier sums of periodic functions of many variables from the classes $B^{\Omega}_{p, \theta}$ in the space $L_p$ for $p = 1, \infty$.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 9, pp 1370-1381.

Citation Example: Myronyuk V. V. Approximation of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p = 1, \infty$ // Ukr. Mat. Zh. - 2012. - 64, № 9. - pp. 1204-1213.

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