Weierstrass' theorem with weights

DOI10.1016/j.jat.2004.01.003zbMath1045.41005OpenAlexW1988714573MaRDI QIDQ1826869

Ana Portilla, Yamilet del Carmen Quintana Mato, José M. Rodríguez, Eva Tourís

Publication date: 6 August 2004

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

Full work available at URL: http://hdl.handle.net/10016/6454

zbMATH Keywords

weight functionWeierstrass' approximation theoremBesicovitch-Vitali-type covering lemma

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Simultaneous approximation (41A28) Approximation by other special function classes (41A30)

Related Items (7)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights ⋮ A simple characterization of weighted Sobolev spaces with bounded multiplication operator ⋮ Weierstrass's theorem in weighted Sobolev spaces with \(k\) derivatives ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Weighted Weierstrass' theorem with first derivatives
• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Weierstrass and approximation theory
• Approximation with exponential weights in \([-1,1\)]
• Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures
• Weighted Sobolev spaces on curves
• Embeddings of weighted Sobolev spaces into spaces of continuous functions
• WEIERSTRASS' THEOREM IN THE TWENTIETH CENTURY: A SELECTION
• Sobolev orthogonal polynomials in the complex plane
• Weierstrass' theorem in weighted Sobolev spaces
• The multiplication operator in Sobolev spaces with respect to measures

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