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2016•Advances in computer science researchOpen access

Note on Equidistant Polynomial Interpolation

Shang Gao, Qiang Qian

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Abstract

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.Based on analysis of basic polynomial interpolation, the equidistant polynomial interpolation problem is studied.Simple divided difference is given and it is proved by mathematical induction.The computation is smaller than the traditional method.At last, this calculation method is illustrated through an example.

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In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.Based on analysis of basic polynomial interpolation, the equidistant polynomial interpolation problem is studied.Simple divided difference is given and it is proved by mathematical induction.The computation is smaller than the traditional method.At last, this calculation method is illustrated through an example.

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Available abstract

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.Based on analysis of basic polynomial interpolation, the equidistant polynomial interpolation problem is studied.Simple divided difference is given and it is proved by mathematical induction.The computation is smaller than the traditional method.At last, this calculation method is illustrated through an example.

Key concepts: Equidistant, Interpolation (computer graphics), Polynomial, Mathematics, Computer science, Applied mathematics, Computer graphics (images), Mathematical analysis

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