Geodesic
Linear widths of H\"older--Nikol'skii classes of periodic functions of several variables
Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 189-199.

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We consider the linear widths $\lambda_N\bigl(W_p^r(T^n),L_q\bigr)$ and $\lambda_N\bigl(H_p^r(T^n),L_q\bigr)$ of the classes $W_p^r(T^n)$ and $H_p^r(T^n)$ of periodic functions of one or several variables in the space $L_q$. For the Sobolev classes $W_p^r(T^n)$ of functions of one or several variables, we state some well-known results without proof; for the Hölder–Nikol'skii classes $H_p^r(T^n)$, we state some well-known results, prove some new results, and present some previously unpublished proofs. 
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     title = {Linear widths of {H\"older--Nikol'skii} classes of periodic functions of several variables},
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È. M. Galeev. Linear widths of H\"older--Nikol'skii classes of periodic functions of several variables. Matematičeskie zametki, Tome 59 (1996) no. 2, pp. 189-199. http://geodesic.mathdoc.fr/item/MZM_1996_59_2_a4/

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