Title

Local Convergence Of Lagrange Interpolation Associated With Equidistant Nodes

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]. © 1994 Academic Press, Inc.

Publication Date

1-1-1994

Publication Title

Journal of Approximation Theory

Volume

78

Issue

2

Number of Pages

213-225

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jath.1994.1073

Socpus ID

0001017090 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0001017090

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