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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Keywords: Piecewise monotone, comonotone, comonotone approximation
Article copyright: © Copyright 1994 American Mathematical Society