Equiconvergence of some complex interpolatory polynomials |
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Authors: | M R Akhlaghi A Jakimovski A Sharma |
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Institution: | (1) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada;(2) Department of Mathematics, University of Tel Aviv, Tel Aviv, Israel |
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Abstract: | Summary Walsh showed the close relation between the Lagrange interpolant in then
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.Dedicated to R. S. Varga on the occasion of his sixtieth birthdayThese authors were supported by NSERC A3094 |
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Keywords: | AMS (MOS): 41A05 30E10 CR: G1 1 |
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