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Interpolation of medians

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Abstract

We study the median of a continuous function on an interval and show that for certain spaces of functions there is a unique function in the space whose medians on given intervals take given values.

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References

  1. D. Braess, Nonlinear Approximation Theory (Springer, Berlin, 1986).

    Google Scholar 

  2. D.L. Donoho and T.P.-Y. Yu, Nonlinear “wavelet transforms” based on median-interpolation, Preprint.

  3. I. Jackson, A general class of problems in approximation, Amer. J. Math. 46 (1924) 215-234.

    Article  MATH  MathSciNet  Google Scholar 

  4. J.M.O. Ortega amd W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Severable Variables (Academic Press, New York, 1970).

    Google Scholar 

  5. J.R. Rice, The Approximation of Functions (Addison-Wesley, Reading, MA, 1964).

    Google Scholar 

  6. I.J. Schoenberg and A. Whitney, On Pólya frequency functions III: The positivity of translation determinants with application to the interpolation problem by spline curves, Trans. Amer. Math. Soc. 74 (1953) 246-259.

    Article  MATH  MathSciNet  Google Scholar 

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Goodman, T.N., Yu, T.P. Interpolation of medians. Advances in Computational Mathematics 11, 1–10 (1999). https://doi.org/10.1023/A:1018959506235

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  • DOI: https://doi.org/10.1023/A:1018959506235

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