On the positivity of some bilinear functionals in Sobolev spaces

DOI10.1016/S0377-0427(99)00063-1zbMath0929.42014OpenAlexW2096208426MaRDI QIDQ1298783

André Draux, Charaf El Hami

Publication date: 10 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00063-1

zbMATH Keywords

zeros of polynomialsformal orthogonal polynomials

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) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (13)

Discrete spectra of certain co-recursive Pollaczek polynomials and its applications ⋮ Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Coherent pairs of measures and Markov-Bernstein inequalities ⋮ Markov \(L_2\) inequality with the Gegenbauer weight ⋮ Δ-Coherent pairs of linear functionals and Markov-Bernstein inequalities ⋮ Markov-Bernstein inequalities for generalized Gegenbauer weight ⋮ Markov-type inequalities and extreme zeros of orthogonal polynomials ⋮ Generalized \(qd\) algorithm for block band matrices ⋮ On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces ⋮ Markov-Bernstein and Landau-Kolmogorov type inequalities in several variables for the Hermite and closely connected measures ⋮ On quasi-orthogonal polynomials of orderr ⋮ Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight

Uses Software

• Mathematica

Cites Work

• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Hermite-Sobolev and closely connected orthogonal polynomials
• Laguerre-Sobolev orthogonal polynomials
• Über die nebst ihren Ableitungen orthogonalen Polynomensysteme und das zugehörige Extremum
• New Inequalities of Markov Type
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the positivity of some bilinear functionals in Sobolev spaces