Supported by the National Natural Science Foundation of China:11871006。
This paper investigates the optimal Hermite interpolation of a class F_(∞) of infinitely differentiable functions on[-1,1]in L_(∞)[-1,1]and weighted spaces L_(p,w)[-1,1],1≤p∞[-1,1]and L_(p,w)[-1,1],1≤p<∞ with w ...