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- W2601041186 abstract "where lk(x)=lk,,(X, X) are the fundamental polynomials of Lagrange interpolation and Vk(X)=Vk,,(X , X) are appropriate linear functions ( k = 1, 2, ..., n). 2.2. I f for any xC[ -1 ,1 ] Vk.,(X,X)>=o>O ( k = l , 2 , . . . , n ; n = l , 2, . . . ) then the matrix X is called o-normaL This definition was introduced by L. Fej6r [7]. Concerning 0-normal matrices G. Grfinwald proved the following important theorem [8]: THEOREM A. I f X is Q-normal then {H,(f, X, x)} uniformly tends to f (x)~ C [ 1, 1] in [ -1 , 1]. 2.3. The case X(~'~)={Xk(,~P)}(e, f l > l ) i.e. when the nodes are the corresponding roots of the n-th Jacobi polynomial P,(~,P)(x) was investigated by several authors (see e.g. [1], [2], [3]). In [1] G. Szeg6 proved" @default.
- W2601041186 created "2017-04-07" @default.
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- W2601041186 date "1985-01-01" @default.
- W2601041186 modified "2023-09-27" @default.
- W2601041186 title "CONVERGENCE OF HERMITE--FEJI~R INTERPOLATION" @default.
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