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Hermite interpolation and its numerical differentiation formula involving symmetric functions
Authors:Hong-huan Bai  Ai-min Xu
Affiliation:[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, China
Abstract:By utilizing symmetric functions, this paper presents explicit representations for Hermite interpolation and its numerical differentiation formula. And the corresponding error estimates are also provided.
Keywords:Hermite interpolation  numerical differentiation  elementary symmetric function  complete symmetric function
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