Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product

DOI10.1007/BF02355461zbMath0916.33004OpenAlexW1995290167MaRDI QIDQ1277495

Boris P. Osilenker, Francisco Marcellán

Publication date: 12 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355461

zbMATH Keywords

Legendre polynomialsLegendre-Sobolev orthogonal polynomialsSobolev weights

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 (3)

Some extremal problems for algebraic polynomials in loaded spaces ⋮ An extremal problem for algebraic polynomials in the symmetric discrete Gegenbauer--Sobolev space ⋮ Generalized trace formula and asymptotics of the averaged Turan determinant for polynomials orthogonal with a discrete Sobolev inner product

Cites Work

• Unnamed Item
• On orthogonal polynomials with respect to an inner product involving derivatives: Zeros and recurrence relations
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Symmetric orthogonal polynomials for Sobolev-type inner products
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Asymptotic behaviour of orthogonal polynomials relative to measures with mass points
• On Recurrence Relations for Sobolev Orthogonal Polynomials

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