Approximation of generalized biaxially symmetric potentials on certain domains

DOI10.1016/0022-247X(81)90209-2zbMath0504.35029MaRDI QIDQ1836090

Peter A. McCoy

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

approximationintegral operator methodbest harmonic polynomial approximatesgeneralized biaxially symmetric potentials

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximation by polynomials (41A10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

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• Constructive methods for fourth-order elliptic equations
• Approximation of entire functions over bounded domains
• Polynomial approximation of generalized biaxisymmetric potentials
• Singularities of solutions to linear second order elliptic partial differential equations with analytic coefficients by approximation methods
• Addendum to: 'Best polynomial approximation to certain entire functions'
• A contribution to best approximation in the L\(^2\) norm
• On an extension of a result of S. N. Bernstein
• Best L p -Approximation of Generalized Biaxisymmetric Potentials
• Best polynomial approximation to certain entire functions

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