No CrossRef data available.
Article contents
A Chebyshev-type alternation theorem for best approximation by a sum of two algebras
Published online by Cambridge University Press: 01 September 2023
Abstract
Let X be a compact metric space, C(X) be the space of continuous real-valued functions on X and $A_{1},A_{2}$ be two closed subalgebras of C(X) containing constant functions. We consider the problem of approximation of a function
$f\in C(X)$ by elements from
$A_{1}+A_{2}$. We prove a Chebyshev-type alternation theorem for a function
$u_{0} \in A_{1}+A_{2}$ to be a best approximation to f.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 66 , Issue 4 , November 2023 , pp. 971 - 978
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240320160114801-0947:S0013091523000494:S0013091523000494_inline194.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240320160114801-0947:S0013091523000494:S0013091523000494_inline195.png?pub-status=live)