Simultaneous approximation via Laplacians on the unit ball

DOI10.1007/S00009-023-02509-9OpenAlexW4387615840MaRDI QIDQ6141226

Teresa E. Pérez, Marlon J. Recarte, Misael E. Marriaga

Publication date: 22 January 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02509-9

zbMATH Keywords

Fourier expansionsapproximation on the ballinner product via Laplacians

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• On Sobolev orthogonal polynomials
• A family of Sobolev orthogonal polynomials on the unit ball
• Sobolev orthogonal polynomials defined via gradient on the unit ball
• Approximation and orthogonality in Sobolev spaces on a triangle
• Solving the nonlinear Poisson equation on the unit disk
• A many-variable Landau-Kolmogorov inequality
• Best polynomial approximation on the unit ball
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Orthogonal Polynomials of Several Variables
• Approximation via gradients on the ball. The Zernike case

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