A Chebyshev-type alternation theorem for best approximation by a sum of two algebras

DOI10.1017/s0013091523000494zbMath1528.41048arXiv2204.07448OpenAlexW4386376502MaRDI QIDQ6180584

Ali A. Huseynli, Vugar E. Ismailov, Aida Kh. Asgarova

Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07448

zbMATH Keywords

best approximationBanach-Alaoglu theoremboltChebyshev alternation theoremweak$^*$ convergence

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Compactness in Banach (or normed) spaces (46B50) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30)

Cites Work

• Approximation by a sum of two algebras. The lightning bolt principle
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• Ridge Functions and Applications in Neural Networks
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• On functions of three variables
• A CHEBYSHEV THEOREM FOR THE APPROXIMATION OF A FUNCTION OF TWO VARIABLES BY SUMS OF THE TYPE ϕ(x) + ψ(y)
• Applications of the Theory of Boolean Rings to General Topology
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