2006•Journal of Hunan Institute of Science and TechnologyRequires access

Hermite three point interpolation formula under the first interpolation point

Wang Zhen-quan

Abstract

Solving a kind of non-polynomial interpolation problem can be transferred into solve 4 derivation polynomial interpolation problems with prime facterization in this paper.Both the existence and uniqueness of the Hermite three point interpolation formula in power exponent form has been proved under one first order derivative of the first interpolation point.It has been structured in two ways.Two examples have been given finally.

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Key concepts: Birkhoff interpolation, Hermite interpolation, Interpolation (computer graphics), Mathematics, Polynomial interpolation, Bilinear interpolation, Nearest-neighbor interpolation, Applied mathematics