Transactions of the American Mathematical Society · 1964 · 11 citations · 2 references
Natural SciencesMathematicsAlgorithmsOptimizationUncertainty QuantificationApproximation AlgorithmsApproximation MethodsNonlinear ProgrammingApproximation PropertiesBest Approximation
Introduction.This paper is concerned with the following approximation problem :Tchebycheff approximation problem.Let fix) be continuous on [0,1] and let FiA,x) be a continuous approximating function depending on n parameters, A = iay,a2,---,an).Denote by P the domain of the parameters.Given fix) determine A* e P such that max \FiA*,x)-fix)\ =g max \FiA,x) -/(x)| *e[0.1]Jte [0,l]
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