Simultaneous approximation of a set of complex-valued functions in a normed vector space

DOI10.1016/0021-9045(80)90123-9zbMath0482.41015OpenAlexW1966069164MaRDI QIDQ1162669

J. H. Freilich

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90123-9

zbMATH Keywords

characterizationslocal uniquenessstrong uniquenessalternationslocal best approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52) Simultaneous approximation (41A28) Approximation by other special function classes (41A30)

Cites Work

• Approximation of bounded sets
• Generalized rational approximation in interpolating subspaces of L\(_p(\mu\))
• Simultaneous Chebychev approximation of a set of bounded complex-valued functions
• Interpolating subspaces in approximation theory
• Nicht-lineare gleichmäßige Simultanapproximation
• Some theorems on Cebysev approximation
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
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