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This article is cited in 1 scientific paper (total in 1 paper)
A Chebyshev-Type Theorem Characterizing Best Approximation of a Continuous Function by Elements of the Sum of Two Algebras
A. Kh. Askarova, V. È. Ismailov Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Abstract:
In the paper, we consider the problem of uniform approximation of a continuous function defined on a compact metric space $X$ by elements of the sum of two algebras in the space of all continuous functions on $X$. We prove a Chebyshev-type theorem for characterization of best approximation.
Keywords:
function algebra, best approximation, lightning bolt, extremal lightning bolt.
Received: 26.03.2020 Revised: 02.09.2020
Citation:
A. Kh. Askarova, V. È. Ismailov, “A Chebyshev-Type Theorem Characterizing Best Approximation of a Continuous Function by Elements of the Sum of Two Algebras”, Mat. Zametki, 109:1 (2021), 19–26; Math. Notes, 109:1 (2021), 15–20
Linking options:
https://www.mathnet.ru/eng/mzm12736https://doi.org/10.4213/mzm12736 https://www.mathnet.ru/eng/mzm/v109/i1/p19
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Abstract page: | 252 | Full-text PDF : | 81 | References: | 38 | First page: | 13 |
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