2017
Том 69
№ 6

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Best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of periodic functions of many variables

Stasyuk S. A.

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Abstract

Order estimates of the best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of multivariable functions in the metric of the space Lq are obtained for the case 1 < q < p < ∞.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 5, pp 744-757.

Citation Example: Stasyuk S. A. Best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of periodic functions of many variables // Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 647 – 656.

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