Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms

DOI10.1016/j.jat.2010.07.010zbMath1225.33012OpenAlexW2092499912MaRDI QIDQ619064

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

Publication date: 21 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2010.07.010

zbMATH Keywords

asymptotic behaviorSobolev orthogonal polynomialsextremal polynomialsmultiplication operatorzero location\(n\)th root asymptoticnon-diagonal Sobolev norms

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other special orthogonal polynomials and functions (33C47)

Related Items (7)

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 ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ Measurable diagonalization of positive definite matrices ⋮ Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product

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