Chebyshev Approximation by Families with the Betweeness Property
Chebyshev Approximation by Families with the Betweeness Property
Introduction. In this note a theory of Chebyshev approximation is obtained for approximating families with a property which is a generalization of convexity, the betweeness property.This theory is of interest for several reasons.Most of the approximating families for which a tractable theory exists characterize best approximations by the extrema of …