Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight

DOI10.1007/s11075-008-9241-4zbMath1179.33010OpenAlexW2087830683MaRDI QIDQ834649

Mohamed Sadik, André Draux, Borhane Moalla

Publication date: 27 August 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9241-4

zbMATH Keywords

Markov-Bernstein inequalitiesrecurrence relationsband matricesJacobi weightqd algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (6)

Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Coherent pairs of measures and Markov-Bernstein inequalities ⋮ \(qd\) block algorithm ⋮ Markov-Bernstein inequalities for generalized Gegenbauer weight ⋮ Generalized \(qd\) algorithm for block band matrices ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

Cites Work

• On the positivity of some bilinear functionals in Sobolev spaces
• Hermite-Sobolev and closely connected orthogonal polynomials
• Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities
• Der Quotienten-Differenzen-Algorithmus
• The calculation of Lame polynomials
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