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Abstract Divided differences are very important in numerical approximation and are introduced completely in different numerical approximations literatures. Divided differences with repeated nodes are defined on the basis of divided differences. However, they are not systematically summarized in different literatures. Some main properties of divided differences with repeated nodes are summarized, and their applications in the construction of the Hermit interpolation are also introduced and its theoretical basis has been proved.
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2022, Vol. 35 
