Sobolev orthogonal polynomials of high order in two variables defined on product domains

DOI10.1080/10652469.2017.1389924zbMATH Open1379.33020OpenAlexW2766533736MaRDI QIDQ4600158

Herbert Dueñas Ruiz, Omar Salazar-Morales, Natalia C. Pinzón-Cortés

Publication date: 5 January 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1389924

zbMATH Keywords

product domainsorthogonal polynomialsclassical orthogonal polynomialsseveral variablesSobolev polynomials

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ On Sobolev orthogonal polynomials on a triangle ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ On a class of Sobolev scalar products in the polynomials. ⋮ Sobolev orthogonal polynomials of several variables on product domains ⋮ A higher order Sobolev-type inner product for orthogonal polynomials in several variables ⋮ A study on Sobolev orthogonal polynomials on a triangle

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