2017
Том 69
№ 9

All Issues

Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables

Myronyuk V. V.

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Abstract

We describe the Besov anisotropic spaces of periodic functions of several variables in terms of the decomposition representation and establish the exact-order estimates of the Kolmogorov widths and trigonometric approximations of functions from unit balls of these spaces in the spaces L q .

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 8, pp 1248-1266.

Citation Example: Myronyuk V. V. Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables // Ukr. Mat. Zh. - 2014. - 66, № 8. - pp. 1117–1132.

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