2017
Том 69
№ 9

All Issues

Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables

Lasuriya R. A., Stepanets O. I.

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Abstract

We present results concerning the approximation of ψ-differentiable functions of many variables by rectangular Fourier sums in uniform and integral metrics and establish estimates for φ-strong means of their deviations in terms of the best approximations.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1192-1211.

Citation Example: Lasuriya R. A., Stepanets O. I. Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1075–1093.

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