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On Comonotone Approximation

Published online by Cambridge University Press:  20 November 2018

R. K. Beatson  and
D. Leviatan
R. K. Beatson
Affiliation:
Department of Mathematics, University of Connecticut, StorrsCt. 06268
D. Leviatan
Affiliation:
Department of Mathematics, Tel Aviv UniversityRamat Aviv, Israel
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Abstract

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Jackson type theorems are obtained for the comonotone approximation of piecewise monotone functions by polynomials.

Keywords

Primary41A29Secondary 41A1041A17
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 2 , 01 June 1983 , pp. 220 - 224
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Beatson, R. K., Monotone and convex approximation by splines: Error estimates and a curve fitting algorithm, SIAM J. Numer. Anal, (to appear).Google Scholar
2. Chui, C. K., Smith, P. W. and Ward, J. D., Degree of Lp approximation by monotone splines, SIAM J. Math. Anal. 11 (1980), 436–447.Google Scholar
3. DeVore, R. A., Degree of monotone approximation, Linear Operators and Approximation II, ISNM 25 P. L. Butzer and B. Sz. Nagy ?d., Birkhauser Verlag Basel, 1974, 337–351.Google Scholar
4. DeVore, R. A., Monotone approximation by splines, SIAM J. Math. Anal. 8 (1977), 891–905.Google Scholar
5. DeVore, R. A., Monotone approximation by polynomials, SIAM J. Math. Anal. 8 (1977), 906–921.Google Scholar
6. Iliev, G. L., Exact estimates for partially monotone approximation, Anal. Math. 4 (1978), 181–197.Google Scholar
7. Leviatan, D. and Mhaskar, N. H., Comonotone approximation by splines of piecewise monotone functions, J. Approx. Theory (to appear).Google Scholar
8. Newman, D. J., Efficient comonotone approximation, J. Approx. Theory 25 (1979), 189–192.Google Scholar