Linear widths of Hölder-Nikol'skii classes of periodic functions of several variables
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We consider the linear widths λ N (W p r (Tn), Lq) and λ N (H p r (Tn), Lq) of the classesW p r (Tn) andH p r (Tn) of periodic functions of one or several variables in the spaceLq. For the Sobolev classesW p r (Tn) of functions of one or several variables, we state some well-known results without proof; for the Hölder-Nikol'skii classesH p r (Tn), we state some well-known results, prove some new results, and present some previously unpublished proofs.
KeywordsPeriodic Function Linear Width Unpublished Proof Skii Class
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