Best comonotone approximation

Authors:
Frank Deutsch and Jun Zhong

Journal:
Trans. Amer. Math. Soc. **344** (1994), 617-627

MSC:
Primary 41A50; Secondary 41A65

DOI:
https://doi.org/10.1090/S0002-9947-1994-1260201-1

MathSciNet review:
1260201

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Abstract | References | Similar Articles | Additional Information

Abstract: A general theory of best comonotone approximation in 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:
https://doi.org/10.1090/S0002-9947-1994-1260201-1

Keywords:
Piecewise monotone,
comonotone,
comonotone approximation

Article copyright:
© Copyright 1994
American Mathematical Society