Equiconvergence of some complex interpolatory polynomials

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

Research output: Contribution to journalArticlepeer-review

Abstract

Walsh showed the close relation between the Lagrange interpolant in the nth 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 languageEnglish
Pages (from-to)635-649
Number of pages15
JournalNumerische Mathematik
Volume57
Issue number1
DOIs
StatePublished - Dec 1990

Keywords

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

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