A note on mean convergence of Lagrange interpolation in L-p (0 < p <= 1)

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Let w:= exp(-Q), where Q is of faster than smooth polynomial growth at infinity, for example, w(k,x)(x):= exp(-exp(k)(/x/(x))), alpha > 1. We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weights in L-p (0 < p less than or equal to 1) completing earlier investigations by the first author and D.S. Lubinsky in L-p (1 < p < infinity). (C) 2001 Elsevier Science B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2001-08
Language
English
Article Type
Article; Proceedings Paper
Keywords

SUFFICIENT CONDITIONS; ERDOS WEIGHTS

Citation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.133, no.1-2, pp.277 - 282

ISSN
0377-0427
URI
http://hdl.handle.net/10203/81254
Appears in Collection
MA-Journal Papers(저널논문)
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