Interpolation of medians

Advances in Computational Mathematics

Volumn 11, Issue 1, 1999, Pages 1-10

  Goodman, Tim N T ^a   Yu, Thomas P Y ^b  

^a UNIVERSITY OF DUNDEE   (United Kingdom)

^b Rensselaer Polytechnic Institute   (United States)

Author keywords

Interpolation; Median; Polynomial; Spline

Indexed keywords

EID: 0033421043     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018959506235     Document Type: Article

References (6)

1. D. Braess, Nonlinear Approximation Theory (Springer, Berlin, 1986).
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.
4. J.M.O. Ortega amd W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Severable Variables (Academic Press, New York, 1970).
5. J.R. Rice, The Approximation of Functions (Addison-Wesley, Reading, MA, 1964).
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.