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N-widths for some classes of periodic functions with boundary conditions

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Approximation Theory and its Applications

Abstract

For some classes of periodic functions with boundary conditions the strong asymptotics of the Kolmogorov's, the Gelfand's, and linear N-widths are obtained.

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References

  1. Sun Yongsheng, Optimal interpolation on Some Classes of Smooth Functions Defined on the Whole Real Axis, Advances in Math. (In Chinese), 20:1(1991) 1–14.

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  2. Li Chun, Infinite-deimensional Widths in the Spaces of Function (I), Chinese Science Bulletin, 35 (1990), 1326–1330.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, PRC

    Sun Yongsheng & Liu Yongping

Authors
  1. Sun Yongsheng
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  2. Liu Yongping
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Additional information

The project supported by Doctoral Program Foundation of Institution of Higher Education and YNSFC.

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Yongsheng, S., Yongping, L. N-widths for some classes of periodic functions with boundary conditions. Approx. Theory & its Appl. 8, 21–27 (1992). https://doi.org/10.1007/BF02836335

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  • DOI: https://doi.org/10.1007/BF02836335

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