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Volume 32, Issue 1
On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation

A. K. Kamal

Anal. Theory Appl., 32 (2016), pp. 20-26.

Published online: 2016-01

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  • 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.

  • AMS Subject Headings

41A65

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COPYRIGHT: © Global Science Press

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@Article{ATA-32-20, author = {}, title = {On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n1.2}, url = {http://global-sci.org/intro/article_detail/ata/4651.html} }
TY - JOUR T1 - On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation JO - Analysis in Theory and Applications VL - 1 SP - 20 EP - 26 PY - 2016 DA - 2016/01 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n1.2 UR - https://global-sci.org/intro/article_detail/ata/4651.html KW - Strict Chebyshev spaces, best copositive approximation, change of sign. AB -

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.

A. K. Kamal. (1970). On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation. Analysis in Theory and Applications. 32 (1). 20-26. doi:10.4208/ata.2016.v32.n1.2
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