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Mathematics of Computation

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Uniform approximation of vector-valued functions with a constraint


Author: Geneva G. Belford
Journal: Math. Comp. 26 (1972), 487-492
MSC: Primary 41A50
DOI: https://doi.org/10.1090/S0025-5718-1972-0310511-6
MathSciNet review: 0310511
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Abstract: This paper deals with existence and characterization of best approximations to vector-valued functions. The approximations are themselves vector-valued functions with components taken from a linear space, but the constraint is imposed that certain of the approximation parameters should be identical for all components.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1972-0310511-6
Keywords: Uniform approximation, vector-valued approximation, linear approximation, characterization of best approximation, polynomial approximation
Article copyright: © Copyright 1972 American Mathematical Society