Trigonometric and orthoprojection widths of classes of periodic functions of many variables
Abstract
We obtain exact order estimates for trigonometric and orthoprojection widths of the Besov classes $B^r_{p,θ}$ and Nikol’skii classes $Hr p$ of periodic functions of many variables in the space $L_q$ for certain relations between the parameters $p$ and $q$.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 10, pp 1589-1609.
Citation Example: Romanyuk A. S., Romanyuk V. S. Trigonometric and orthoprojection widths of classes of periodic functions of many variables // Ukr. Mat. Zh. - 2009. - 61, № 10. - pp. 1348-1366.
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