A Chebyshev-type theorem characterizing best approximation of a continuous function by elements of the sum of two algebras

DOI10.1134/S0001434621010028zbMath1468.41011OpenAlexW3181681751MaRDI QIDQ2037621

Vugar E. Ismailov, Aida Kh. Asgarova

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621010028

zbMATH Keywords

best approximationfunction algebralightning boltextremal lightning bolt

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Estimate of the Hölder exponent based on the \(\epsilon\)-complexity of continuous functions ⋮ A Chebyshev-type alternation theorem for best approximation by a sum of two algebras

Cites Work

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• Approximation by a sum of two algebras. The lightning bolt principle
• Diliberto-Straus algorithm for the uniform approximation by a sum of two algebras
• Characterization of an extremal sum of ridge functions
• On the representation by sums of algebras of continuous functions
• Alternation theorems for functions of several variables
• Uniform approximation by real functions
• On the approximation by compositions of fixed multivariate functions with univariate functions
• A CHEBYSHEV THEOREM FOR THE APPROXIMATION OF A FUNCTION OF TWO VARIABLES BY SUMS OF THE TYPE ϕ(x) + ψ(y)

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