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Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L q (ℝd)

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Abstract

In this paper, the average σ-Κ width of Sobolev-Wiener classes \( S^{r}_{{pq}} W \) with mixed smoothness in L q (ℝd) is studied for 1 < q≤p < ∞, and the weak asymptotical behaviour of these quantities is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China

    He Ping Wang

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  1. He Ping Wang
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Correspondence to He Ping Wang.

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Supportedb y Beijing Natural Science Foundation (Project No. 1982005)

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Wang, H.P. Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L q (ℝd). Acta Math Sinica 17, 305–312 (2001). https://doi.org/10.1007/s101149900009

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  • DOI: https://doi.org/10.1007/s101149900009

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