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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Best comonotone approximation


Authors: Frank Deutsch and Jun Zhong
Journal: Trans. Amer. Math. Soc. 344 (1994), 617-627
MSC: Primary 41A50; Secondary 41A65
MathSciNet review: 1260201
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Abstract: A general theory of best comonotone approximation in $ C[a,b]$ by elements of an n-dimensional extended Chebyshev subspace is described. In particular, theorems on the existence, (in general) nonuniqueness, and characterization of best comonotone approximations are established.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1260201-1
PII: S 0002-9947(1994)1260201-1
Keywords: Piecewise monotone, comonotone, comonotone approximation
Article copyright: © Copyright 1994 American Mathematical Society