2002Unpublished venueRequires access

α-Polynomial interpolation and its optimization

Zai-En Hou

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Abstract

The problem of α-polynomial interpolation is studied by using the concept of relative derivative and the Lagrange interpolation. The main results are which with the given condition there exists unique interpolation polynomial, and the construction and the expression of estimation of error of the interpolation polynomial are given.The method and the numerical example for solving the optimizational polynomial are listed at the end.

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What this paper is about

The problem of α-polynomial interpolation is studied by using the concept of relative derivative and the Lagrange interpolation. The main results are which with the given condition there exists unique interpolation polynomial, and the construction and the expression of estimation of error of the interpolation polynomial are given.The method and the numerical example for solving the optimizational polynomial are listed at the end.

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Available abstract

The problem of α-polynomial interpolation is studied by using the concept of relative derivative and the Lagrange interpolation. The main results are which with the given condition there exists unique interpolation polynomial, and the construction and the expression of estimation of error of the interpolation polynomial are given.The method and the numerical example for solving the optimizational polynomial are listed at the end.

Key concepts: Polynomial interpolation, Birkhoff interpolation, Interpolation (computer graphics), Lagrange polynomial, Mathematics, Trigonometric interpolation, Polynomial, Nearest-neighbor interpolation

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