http://dx.doi.org/10.1006/jath.1994.1073

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Title

Local Convergence Of Lagrange Interpolation Associated With Equidistant Nodes

Authors

Authors

X. Li;E. B. Saff

Comments

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Abbreviated Journal Title

J. Approx. Theory

Keywords

Mathematics

Abstract

Under the assumption that the function f is bounded on [- 1, 1] and analytic at x = 0 we prove the local convergence of Lagrange interpolating polynomials of f associated with equidistant nodes on [- 1, 1]. The classical results concerning the convergence of such interpolants assume the stronger condition that f is analytic on [- 1, 1]. A de Montessus de Ballore type theorem for interpolating rationals associated with equidistant nodes is also established without assuming the global analyticity of f on [- 1, 1]. (C) 1994 Academic Press, Inc.

Journal Title

Journal of Approximation Theory

Volume

78

Issue/Number

2

Publication Date

1-1-1994

Document Type

Article

Language

English

First Page

213

Last Page

225

WOS Identifier

WOS:A1994PA23100004

ISSN

0021-9045

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