Description
Interpolation of the function Y(X) by one variable X defined by (n+1) nodes Yi(Xi), where i = 0, 1, 2, ... n, consists in finding the values of Y by the value X between the nodes Xi. During interpolation, the function Y(X) is replaced by the interpolation polynomial P(X), whose values P(Xi) at the nodes exactly coincide with Y(Xi). The value n sets the degree of the polynomial P(X).
Lagrange formulas for interpolation with a uniform arrangement of nodes provide the shortest interpolation time, do not require updating the input Yi and X0 to calculate each Y(X) and allow you to calculate Yi at nodes Xi. In these formulas, the index 0 denotes the central node.
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