Best approximation in the supremum norm by analytic and harmonic functions

DOI10.1007/BF02384560zbMath1134.41320OpenAlexW2041206012MaRDI QIDQ1428378

Harold S. Shapiro, Dmitry Khavinson

Publication date: 28 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384560

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Uniqueness of best approximation (41A52) Approximation by other special function classes (41A30)

Related Items (4)

Approximation of non-analytic functions by analytical ones ⋮ Around a theorem of F. Dyson and a. Lenard: energy equilibria for point charge distributions in classical electrostatics ⋮ Inheritance of smoothness by extremal functions in Bergman spaces \(A_p\) for \(0<p<\infty \) ⋮ Harmonic approximation and Sarason's-type theorem

Cites Work

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• Topics in approximation theory
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• On Absolutely Convergent Exponential Sums
• Vanishing l¹-sums of the Poisson kernel, and sums with positive coefficients
• Domination of the supremum of a bounded harmonic function by its supremum over a countable subset
• A Unified Approach to Certain Problems of Approximation and Minimization
• Best uniform approximations via annihilating measures
• Sur l'approximation et la convergence dans la théorie des fonctions harmoniques ou holomorphes

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