On the Lebesgue function of weighted Lagrange interpolation. II
نویسندگان
چکیده
منابع مشابه
On the Lebesgue Function of Weighted Lagrange Interpolation. Ii
The aim of this paper is to continue our investigation of the Lebesgue function of weighted Lagrange interpolation by considering Erdős weights on R and weights on [ 1;1]. The main results give lower bounds for the Lebesgue function on large subsets of the relevant domains. 1991 Mathematics subject classification (Amer. Math. Soc.): 41A05, 41A10.
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;.Ja, b) = max Z A(x)1 if -I -a < b -1 . a~xs6 k=1 The quantity 1) called Lebesgue constant plays an important role in the theory of Lagrange interpolation ; as G . FABER [1] showed 1 (2) ~ n (l, 1) -c 1 log n for an arbitrary system of nodes (1). Moreover, S . BERNSTEIN [2] proved that (3) Acta Mathematica Academiae Scientiarum Hungaricae Tomus 32 (1-2), (1978), 191-195. ON THE INTEGRAL OF THE...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1998
ISSN: 0263-6115
DOI: 10.1017/s1446788700034923