A generalized Bernstein approximation theorem

DOI10.1017/S030500410006549XzbMath0676.41038OpenAlexW2162817646MaRDI QIDQ3831429

João B. Prolla

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s030500410006549x

zbMATH Keywords

Bernstein polynomialsStone-Weierstrass theorem

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (5)

Some density theorems in the set of continuous functions with values in the unit interval ⋮ The Weierstrass-Stone theorem for convex-cone-valued functions ⋮ The Work of the Mathematician Leopoldo Nachbin (1922-1993) from FNFi ⋮ De Branges type lemma and approximation in weighted spaces ⋮ A note on Machado-Bishop theorem in weighted spaces with applications

Cites Work

• Unnamed Item
• A generalization of the Stone-Weierstrass theorem
• Sur certaines extensions du théorème d'approximation de Bernstein
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Bishop's Stone-Weierstrass Theorem: To the Memory of Errett Bishop [1928 1983 and Silvio Machado [1932-1981]]
• Measures Orthogonal to Algebras and Sets of Antisymmetry
• An Elementary Proof of the Stone-Weierstrass Theorem
• Semi-Algebras of Continuous Functions
• A Variation on the Stone-Weierstrass Theorem

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