Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line

DOI10.1016/j.jat.2006.03.014zbMath1106.41031OpenAlexW2156955376MaRDI QIDQ860689

Héctor Pijeira Cabrera, Guillermo López Lagomasino, Francisco Marcellán

Publication date: 9 January 2007

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

Full work available at URL: http://hdl.handle.net/10016/5938

zbMATH Keywords

Sobolev type norms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (7)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality ⋮ Discrete-continuous Jacobi-Sobolev spaces and Fourier series ⋮ Zeros and logarithmic asymptotics of Sobolev orthogonal polynomials for exponential weights ⋮ Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation ⋮ Asymptotic zero distribution for a class of extremal polynomials ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

Cites Work

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• Zeros and critical points of Sobolev orthogonal polynomials
• An asymptotic result for Laguerre-Sobolev orthogonal polynomials
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• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Strong asymptotics for Sobolev orthogonal polynomials
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Laguerre-Sobolev orthogonal polynomials
• Bernstein-Szegő's theorem for Sobolev orthogonal polynomials
• Asymptotic of extremal polynomials in the complex plane
• The multiplication operator in Sobolev spaces with respect to measures
• Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs
• Zero location for nonstandard orthogonal polynomials
• Unnamed Item

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