2017
Том 69
№ 9

All Issues

Best $M$-Term Trigonometric Approximations of the Classes $B_{p,θ}^Ω$ of Functions of Many Variables

Stasyuk S. A.

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Abstract

We obtain exact order estimates for the best $M$-term trigonometric approximations of the classes $B_{p,θ}^Ω$ of functions of many variables in the space $L_{q, 1} < p < q < ∞, q > 2$.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 3, pp 470–486.

Citation Example: Stasyuk S. A. Best $M$-Term Trigonometric Approximations of the Classes $B_{p,θ}^Ω$ of Functions of Many Variables // Ukr. Mat. Zh. - 2002. - 54, № 3. - pp. 381-394.

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