Abstract
In this paper, a kind of generalized Sobolev-Wiener classes\(W_{pq}^r ({\text{R}},h),h > 0\), h>0, defined on the whole real axis, is introduced, and the average σ-K width problem of these function classes in the metric\(W_{pq}^r ({\text{R}},h),h > 0\) is studied. For the case p=+∞, 1≤q≤+∞, the case 1≤p <+∞, q=1, we get their exact values and identify their optimal subspaces.
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Yongping, L. Average σ-K widths of some generalized Sobolev-Wiener classes. Approx. Theory & its Appl. 8, 79–88 (1992). https://doi.org/10.1007/BF02836321
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DOI: https://doi.org/10.1007/BF02836321