Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case

DOI10.1016/j.apnum.2012.05.006zbMath1256.33005OpenAlexW2053474327MaRDI QIDQ450940

Kenier Castillo, Mirela V. Mello, Fernando Rodrigo Rafaeli

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.05.006

zbMATH Keywords

monotonicityasymptotic behaviororthogonal polynomialszerosSobolev type inner product

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

On asymptotic properties of Laguerre-Sobolev type orthogonal polynomials ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

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