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Newton’s interpolation formula
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Newton’s interpolation formula

mathematics
Also known as: Newton’s divided difference formula
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Quick Summary

Newton's interpolation formula is a mathematical method used to estimate the value of a function between known data points. It's particularly useful when the data points are equally spaced. The formula, developed by Isaac Newton, constructs a polynomial that passes through these known points. This polynomial can then be used to estimate values for x that fall within the range of the original data. If x falls outside this range, the estimation is called extrapolation. This method is a form of polynomial interpolation, which approximates a function with a polynomial that matches the function at specific points.1

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2 Britannica Sources
  1. interpolation
  2. Newton’s method

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