Global approximation with bounded coefficients

DOI10.1016/0021-9045(76)90045-9zbMath0317.41031OpenAlexW2000105726MaRDI QIDQ1221874

Philip W. Smith, Edward Rozema

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90045-9

Mathematics Subject Classification ID

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

Related Items

The Chebyshev centers in a normed linear space ⋮ A class of best simultaneous approximation problems ⋮ Best mean approximation by splines satisfying generalized convexity constraints ⋮ Relative Chebyshev centers in normed linear spaces. I ⋮ Strong Unicity of Restrictedp-Centers ⋮ Restricted Chebyshev centers of bounded subsets in arbitrary Banach spaces ⋮ Chebyshev centres, Jung constants, and their applications ⋮ Approximation of bounded sets ⋮ Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space ⋮ Relative Chebyshev centers in normed linear spaces. II ⋮ Uniqueness of best simultaneous approximation and strictly interpolating subspaces ⋮ On best approximations from \(RS\)-sets in complex Banach spaces ⋮ Chebyshev centers in normed spaces ⋮ Alternants for generalized convex functions ⋮ On convergence of convex sets and relative Chebyshev centers

Cites Work

• Interpolating subspaces in approximation theory
• Global approximation of a compact set by elements of a convex set in a normed space
• Simultaneous \(L_ 1\) approximation of a compact set of real-valued functions
• Uniform approximation by polynomials having bounded coefficients
• The best possible net and the best possible cross-section of a set in a normed space
• A Unified Approach to Uniform Real Approximation by Polynomials with Linear Restrictions
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