Approximation via gradients on the ball. The Zernike case

DOI10.1016/j.cam.2023.115258zbMath1526.42040MaRDI QIDQ6178629

Marlon J. Recarte, Miguel A. Piñar, Misael E. Marriaga, Teresa E. Pérez

Publication date: 4 September 2023

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

zbMATH Keywords

Fourier expansionsapproximation on the ballinner product via gradient

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Approximation by other special function classes (41A30) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Simultaneous approximation via Laplacians on the unit ball

Cites Work

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• Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices
• Weighted Sobolev orthogonal polynomials on the unit ball
• On Sobolev orthogonal polynomials
• Sobolev orthogonal polynomials defined via gradient on the unit ball
• Best polynomial approximation on the unit ball
• Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Spectral Approximation on the Unit Ball
• Orthogonal Polynomials of Several Variables

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