2017
Том 69
№ 9

All Issues

Best Approximations and Kolmogorov and Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables

Stasyuk S. A.

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Abstract

We obtain estimates exact in order for the best approximations and Kolmogorov and trigonometric widths of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables in the space $L^q$ for certain values of the parameters $p$ and $q$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 11, pp 1849–1863.

Citation Example: Stasyuk S. A. Best Approximations and Kolmogorov and Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables // Ukr. Mat. Zh. - 2004. - 56, № 11. - pp. 1557-1568.

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