On the discrete extension of Markov's theorem on monotonicity of zeros

zbMath1333.33013MaRDI QIDQ896874

Kenier Castillo, Fernando Rodrigo Rafaeli

Publication date: 15 December 2015

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol44/abstract_vol44_pp271-280.html

zbMATH Keywords

asymptotic behaviorspeed of convergenceMarkov's theoremmonotonicity of zerosorthogonal polynomials on the real lineUvarov's transformation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (4)

Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ A survey on Markov's theorem on zeros of orthogonal polynomials ⋮ On Markov's theorem on zeros of orthogonal polynomials revisited ⋮ On zeros of polynomials in best \(L^p\)-approximation and inserting mass points

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