Best harmonic and superharmonic \(L^1\)-approximants in strips

DOI10.1006/JATH.1999.3331zbMath0935.31001OpenAlexW2026051476MaRDI QIDQ1125463

Stephen J. Gardiner, David H. Armitage

Publication date: 6 December 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3331

zbMATH Keywords

superharmonic functionsbest approximation by harmonic functionsclosed infinite strip

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Uniqueness of best approximation (41A52) Approximation by other special function classes (41A30)

Cites Work

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• Approximation in the mean by solutions of elliptic equations
• Quadrature and Harmonic L 1 -Approximation in Annuli
• Quadrature and Harmonic Approximation of Subharmonic Functions in Strips
• Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities
• Best Harmonic L ¹ Approximation to Subharmonic Functions
• The Growth of the Hyperplane Mean of a Subharmonic Function
• On the Mean Value Property of Harmonic Functions and Best Harmonic L 1 -Approximation
• The Green and Poisson Kernels for the Strip R ⁿ × 0, 1[]
• Approximation in L p by Solutions of Elliptic Partial Differential Equations

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