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On the Lebesgue function of weighted Lagrange interpolation. II

Part of: Approximations and expansions

Published online by Cambridge University Press:  09 April 2009

P. Vértesi
P. Vértesi
Affiliation:
Mathematical Institute of the Hungarian Academy of Sciences, Budapest P.O.B. 127, Hungary, 1364 e-mail: reter@math-inst.hu
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Abstract

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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.

MSC classification

Secondary: 41A05: Interpolation 41A10: Approximation by polynomials

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 2 , October 1998 , pp. 145 - 162
Copyright
Copyright © Australian Mathematical Society 1998

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