Equiconvergence of some complex interpolatory polynomials

M. R. Akhlaghi; A. Jakimovski; A. Sharma

doi:10.1007/BF01386433

Equiconvergence of some complex interpolatory polynomials

M. R. Akhlaghi^*, A. Jakimovski, A. Sharma

^*Corresponding author for this work

School of Mathematical Sciences

University of Alberta

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Walsh showed the close relation between the Lagrange interpolant in the n^th roots of unity and the corresponding Taylor expansion for functions belonging to a certain class of analytic functions. Recent extensions of this phenomena to Hermite interpolation and other linear processes of interpolation have been surveyed in [3, 5]. Following a recent idea of L. Yuanren [7], we show how new relations between other linear operators can be derived which exhibit Walsh equiconvergence.

Original language	English
Pages (from-to)	635-649
Number of pages	15
Journal	Numerische Mathematik
Volume	57
Issue number	1
DOIs	https://doi.org/10.1007/BF01386433
State	Published - Dec 1990

Keywords

Subject Classifications: AMS (MOS): 41A05, 30E10, CR: G1.1

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10.1007/BF01386433

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KW - Subject Classifications: AMS (MOS): 41A05, 30E10, CR: G1.1

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Equiconvergence of some complex interpolatory polynomials

Abstract

Keywords

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