Shohat-Favard type theorem for orthogonal series

DOI10.1016/j.cam.2007.05.020zbMath1149.41006OpenAlexW2062140170MaRDI QIDQ935813

Jeannette Van Iseghem

Publication date: 8 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.020

zbMATH Keywords

orthogonal polynomialsrational approximationorthogonal seriesFrobenius-Padé approximantsShohat-Favard theorem

Mathematics Subject Classification ID

Padé approximation (41A21) Other transformations of harmonic type (42C20)

Related Items

Frobenius-Padé approximants of \(|x|\)

Cites Work

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• Vector orthogonal relations. Vector QD-algorithm
• Padé-type approximation and general orthogonal polynomials
• Algebraic aspects of matrix orthogonality for vector polynomials
• Simultaneous Frobenius-Padé approximants
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Orthogonal matrix polynomials and higher-order recurrence relations
• ON MONTESSUS DE BALLORE'S THEOREM FOR RATIONAL APPROXIMANTS OF ORTHOGONAL EXPANSIONS
• ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTION
• On the basic set of solutions of a high-order linear difference equation
• Recursive computation of Padé-Legendre approximants and some acceleration properties.