On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation

On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 1 : pp. 20–26

Abstract

This paper is part II of "On Copositive Approximation in Spaces of Continuous Functions".  In this paper the author shows that if $Q$ is any compact subset of real numbers, and $M$ is any finite dimensional strict Chebyshev subspace of $C(Q)$, then for any admissible function $f\in C(Q)\backslash M,$ the best copositive approximation to $f$ from $M$ is unique.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n1.2

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 1 : pp. 20–26

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    Strict Chebyshev spaces best copositive approximation change of sign.