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Best approximation in certain classes of normed linear spaces

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Publication:1060374
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DOI10.1016/0021-9045(83)90089-8zbMath0568.41033OpenAlexW2016955089MaRDI QIDQ1060374

G. Godini

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90089-8



Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)




Cites Work

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  • The representations of linear functionals by measures on sets of extreme points
  • Geometrical properties of a class of Banach spaces including the spaces \(c_0\) and \(L^p(1\leq p<\infty)\)
  • Unicity and strong unicity in approximation theory
  • Interpolating subspaces in approximation theory
  • Smoothness indices for convex functions and the unique Hahn-Banach extension problem
  • Some theorems on Cebysev approximation
  • Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
  • Approximation in the Metric of L 1 (X,μ)
  • The Existence and Unicity of Best Approximations.
  • Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
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