Geodesic
A Chebyshev-Type Theorem Characterizing Best Approximation of a Continuous Function by Elements of the Sum of Two Algebras
Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 19-26

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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. 
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     author = {A. Kh. Askarova and V. \`E. Ismailov},
     title = {A {Chebyshev-Type} {Theorem} {Characterizing} {Best} {Approximation} of a {Continuous} {Function} by {Elements} of the {Sum} of {Two} {Algebras}},
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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. Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 19-26. http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a1/