Volume 31, Issue 4
On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation

Anal. Theory Appl., 31 (2015), pp. 354-372.

Published online: 2017-10

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• 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 $Q$.

• Keywords

Strict Chebyshev spaces, best copositive approximation, change of sign.

41A65

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@Article{ATA-31-354, author = {}, title = {On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {4}, pages = {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 $Q$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n4.2}, url = {http://global-sci.org/intro/article_detail/ata/4644.html} }
TY - JOUR T1 - On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation JO - Analysis in Theory and Applications VL - 4 SP - 354 EP - 372 PY - 2017 DA - 2017/10 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n4.2 UR - https://global-sci.org/intro/article_detail/ata/4644.html KW - Strict Chebyshev spaces, best copositive approximation, change of sign. AB -

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 $Q$.

A. K. Kamal. (1970). On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation. Analysis in Theory and Applications. 31 (4). 354-372. doi:10.4208/ata.2015.v31.n4.2
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