In this paper, we concluded that the Density hypothesis in [5,6,8] is naturally satisfied for varisolvent family; if the best interpolatory Chebyshev approximation on an interval [a,b] is nondegenerate, then there are close relations between the best interpola-tory Chebyshev approximation on [a, b] and the best weighted Chebyshev approximation on subsets of [a, b]. |