Taylor type and Hermite type interpolants in R-n

Phung Van Manh,Nguyen Van Trao,Phan Thanh Tung,Le Ngoc Cuong

NUMERICAL ALGORITHMS（2022）

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摘要

We construct new polynomial interpolation schemes of Taylor and Hermite types in R-n. The interpolation conditions are real parts and imaginary parts of certain differential operators. We also give formulas for the interpolation polynomials which are of Newton form and can be computed by an algorithm.

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关键词

Interpolation polynomial, Hermite interpolation, Taylor type polynomial, Newton formulas

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