On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation

On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation

Year:    2015

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 354–372

Abstract

In this paper the author writes a simple characterization for the best copositive approximation to elements of $C(Q)$ by elements of finite dimensional strict Chebyshev subspaces of $C(Q)$ in the case when $Q$ is any compact subset of real numbers. At the end of the paper the author applies this result for different classes of $Q$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2015.v31.n4.2

Analysis in Theory and Applications, Vol. 31 (2015), Iss. 4 : pp. 354–372

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

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