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Discrete one-sided nonlinear Lp approximation

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Approximation Theory and its Applications

Abstract

Under the local Haar condition, an interpolatory theorem for discrete one-sided nonlinear Lp (p>1) approximation is obtained. Under the strong Young’s condition, a Polya-type theorem with discretization for one-sided nonlinear approximation and a limit (discretization) theorem for one-sided modified Lp (p≥1) approximation are given.

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References

  1. Meinardus, G., Approximation of Function: Theory and Numerical Methods, Springer-Verlag New York Inc. 1967.

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Authors and Affiliations

  1. Shanghai University of Science & Technology, China

    Zhu Changzhong

  2. University of Western, Ontario, Canada

    C. B. Dunham

Authors
  1. Zhu Changzhong
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  2. C. B. Dunham
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Changzhong, Z., Dunham, C.B. Discrete one-sided nonlinear Lp approximation. Approx. Theory & its Appl. 5, 95–104 (1989). https://doi.org/10.1007/BF02836073

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  • DOI: https://doi.org/10.1007/BF02836073

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