A higher order Sobolev-type inner product for orthogonal polynomials in several variables

DOI10.1007/s11075-014-9836-xzbMath1432.42021OpenAlexW2086848951MaRDI QIDQ2514269

Miguel A. Piñar, Herbert Dueñas, Luis E. Garza

Publication date: 3 February 2015

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

Full work available at URL: https://doi.org/10.1007/s11075-014-9836-x

zbMATH Keywords

asymptoticsmultivariate orthogonal polynomialsSobolev inner products

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

Sobolev orthogonal polynomials of several variables on product domains

Cites Work

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• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Asymptotic properties of Sobolev orthogonal polynomials
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
• An Inverse Matrix Adjustment Arising in Discriminant Analysis
• Analytic aspects of Sobolev orthogonal polynomials revisited

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