2017
Том 69
№ 9

All Issues

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 exact order estimates for the trigonometric widths of the classes BΩp,θBp,θΩ of periodic functions of many variables in the space $L_{q, 1}\; < p ≤ 2 ≤ q < p/(p − 1)$.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 862–868.

Citation Example: Stasyuk S. A. Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 700-705.

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