On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation
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@Article{ATA-32-20,
author = {A. K. Kamal},
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
AU - A. K. Kamal
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. (2016). 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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