Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms

DOI10.1155/2013/628031zbMath1267.41008OpenAlexW2160080064WikidataQ59014504 ScholiaQ59014504MaRDI QIDQ1951077

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

Publication date: 29 May 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/628031

zbMATH Keywords

space of polynomialsasymptotic behavior of extremal polynomialsnondiagonal Sobolev norm

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10)

Related Items (6)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Measurable diagonalization of positive definite matrices ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

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