Mean Convergence Rate of Derivatives by Lagrange Interpolation on Chebyshev Grids
نویسندگان
چکیده
منابع مشابه
On Mean Convergence of Lagrange Interpolation for General Arrays
For n 1, let fxjngnj=1 be n distinct points in a compact set K R and let Ln[ ] denote the corresponding Lagrange Interpolation operator. Let v be a suitably restricted function on K. What conditions on the array fxjng1 j n; n 1 ensure the existence of p > 0 such that lim n!1 k (f Ln[f ]) v kLp(K)= 0 for every continuous f :: K ! R ? We show that it is necessary and su cient that there exists r ...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2011
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2011/503561