On the Weierstrass-Stone theorem

DOI10.1006/jath.1994.1080zbMath0810.41029OpenAlexW1990289090MaRDI QIDQ1335028

João B. Prolla

Publication date: 27 September 1994

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1994.1080

zbMATH Keywords

multiplierssimultaneous approximationStone- Weierstrass theoremBishop's theoremsimultaneous interpolation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Simultaneous approximation (41A28)

Related Items (15)

Dominated Convergence and Stone-Weierstrass Theorem ⋮ The Weierstrass-Stone theorem for convex-cone-valued functions ⋮ Constructive Approximation of Continuous Interval-Valued Functions ⋮ Metrics on trace spaces ⋮ Chaotic tracial dynamics ⋮ Special uniform approximations of continuous vector-valued functions. II: Special approximations in \(C_{X}(T)\otimes C_{Y}(S)\). ⋮ Adaptive control of discrete-time nonlinear systems by recurrent neural networks in quasi-sliding mode like regime ⋮ A version of the Stone-Weierstrass theorem in fuzzy analysis ⋮ Stone-Weierstrass and extension theorems in the nonlocally convex case ⋮ A note on Machado-Bishop theorem in weighted spaces with applications ⋮ Simultaneous approximation and interpolation in weighted spaces ⋮ Stone-Weierstrass theorems revisited ⋮ Stone-Weierstrass theorems in \(C^*(X)\) ⋮ Uniform approximation: The non-locally convex case ⋮ Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\)

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