Polynomial approximation of generalized biaxisymmetric potentials

DOI10.1016/0021-9045(79)90005-4zbMath0462.41002OpenAlexW2066297657MaRDI QIDQ1153293

Peter A. McCoy

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90005-4

zbMATH Keywords

constructive function theorybiaxisymmetric potentialsopen unit hypersphererate of decay of the error of best uniform approximation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (6)

Measures of growth of entire solutions of generalized axially symmetric Helmholtz equation ⋮ On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation ⋮ Unnamed Item ⋮ Growth and approximation of generalized biaxially symmetric potentials in several complex variables ⋮ Approximation of generalized biaxially symmetric potentials on certain domains ⋮ Optimal approximation and growth of solutions to a class of elliptic partial differential equations

Cites Work

• Constructive methods for fourth-order elliptic equations
• Addendum to: 'Best polynomial approximation to certain entire functions'
• Growth and complete sequences of generalized axisymmetric potentials
• Extremal properties of real biaxially symmetric potentials in \(E^{2(\alpha+\beta+2)}\).
• Some inequalities for generalized axially symmetric potentials with entire and meromorphic associates
• On an extension of a result of S. N. Bernstein
• Axisymmetric Harmonic Interpolation Polynomials in R N
• On the Zeros of Generalized Axially Symmetric Potentials
• Value Distribution of Biaxially Symmetric Harmonic Polynomials
• Extremal Properties of Real Axially Symmetric Harmonic Functions in E 3
• Some Linear Operators in the Theory of Partial Differential Equations
• Approximation of an entire function
• Best polynomial approximation to certain entire functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polynomial approximation of generalized biaxisymmetric potentials