Note on mean convergence of Lagrange parabolas
نویسندگان
چکیده
منابع مشابه
On Weighted Mean Convergence of Lagrange Interpolation for General Arrays
For n 1, let fxjngnj=1 be n distinct points and let Ln[ ] denote the corresponding Lagrange Interpolation operator. Let W : R ! [0;1). 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 ])W b kLp(R)= 0 for every continuous f : R ! Rwith suitably restricted growth, and some weighting factor ? We obtain a necessary and su¢ cient condition for ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1980
ISSN: 0021-9045
DOI: 10.1016/0021-9045(80)90101-x