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SOME REMARKs ON OVERCONVERGENCE OF HERMITE INTERPOLATING POLYNOMIALS

SOME REMARKs ON OVERCONVERGENCE OF HERMITE INTERPOLATING POLYNOMIALS
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摘要 In this paper. a quantitative estimate for Hermite interpolant to function ψ(z)=(z^m-β~m)~l on the ze- ros of (z^n-α~n)~r is obtained Using this estimate. a rather wide exiension of the theorem of Walsh is proved and five special cases of it are given. In this paper. a quantitative estimate for Hermite interpolant to function ψ(z)=(z^m-β~m)~l on the ze- ros of (z^n-α~n)~r is obtained Using this estimate. a rather wide exiension of the theorem of Walsh is proved and five special cases of it are given.
出处 《Analysis in Theory and Applications》 1994年第3期79-92,共14页 分析理论与应用(英文刊)
基金 The Project is supported by National Natural Science Foundation of China.
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