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On a new kind of Birkhoff type trigonometric interpolation
Authors:Tianzi Jiang
Affiliation:(1) Pattern Recognition Laboratory, Institute of Automation, Chinese Academy of Sciences, 100080 Beijing, P.R. China
Abstract:In this paper we introduce a new kind of Birkhoff type interpolation of functions with period 2pgr. We find necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given.This work was supported by China State Major Key Project for Basic Researchers.
Keywords:Interpolation  trigonometric polynomial  regularity
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