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2003•Journal of Shaanxi University of Science & TechnologyRequires access

INTERPOLATING WITH GENERALIZED α-POLYNOMIAL AND ITS OPTIMIZING

Haibin Wang

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Abstract

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

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What this paper is about

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

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Available abstract

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

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

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