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| On Copositive Approximation in Spaces of Continuous Functions Ⅱ:The Uniqueness of Best Copositive Approximation | |
| 摘 要： | 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 ∈C(Q)M, the best copositive approximation to f from M is unique. |
| 关 键 词： | Strict Chebyshev spaces best copositive approximation change of sign |
On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation |
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| A. K. Kamal. On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation[J]. Analysis in Theory and Applications, 2016, 32(1): 20-26. DOI: 10.4208/ata.2016.v32.n1.2 | |
| Authors: | A. K. Kamal |
| Affiliation: | Department of Mathematics and Statistics, S.Q.university, P.O.Box 36 Al Khoudh 123 Muscat, Sultanate of Oman |
| 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 $fin C(Q)backslash M,$ the best copositive approximation to $f$ from $M$ is unique. |
| Keywords: | Strict Chebyshev spaces best copositive approximation change of sign |
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