The radial part of a class of Sobolev polynomials on the unit ball

DOI10.1007/S11075-020-01011-7zbMath1473.65016OpenAlexW3084913784MaRDI QIDQ2041508

Fátima Lizarte, Miguel A. Piñar, Teresa E. Pérez

Publication date: 23 July 2021

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

Full work available at URL: https://doi.org/10.1007/s11075-020-01011-7

zbMATH Keywords

normal derivativesSobolev inner productsorthogonal polynomials on ball

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Algorithms for approximation of functions (65D15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

On Sobolev orthogonal polynomials on a triangle ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
• Weighted Sobolev orthogonal polynomials on the unit ball
• On Sobolev orthogonal polynomials
• A family of Sobolev orthogonal polynomials on the unit ball
• Sobolev orthogonal polynomials defined via gradient on the unit ball
• \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
• Generalized Zernike or disc polynomials
• Generalized orthogonality and continued fractions
• Orthogonal polynomials and partial differential equations on the unit ball
• Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
• Orthogonal Polynomials of Several Variables

This page was built for publication: The radial part of a class of Sobolev polynomials on the unit ball