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Lagrange Interpolation Formula

Bushra H. Aliwi

Department of Mathematics

BABYLON UNIVERSITY

Introduction:-

   We that Interpolation and Extrapolation that one from applications of polynomial approximation that depend on finite difference for equal intervals to called as Interpolation with Equal intervals and an other one that called Interpolation with Unequal intervals has three methods:- 

                1. Divided Differences

              2. Lagrange s Formula

             3.  Bessel s of Central Differences

Here we will study the Lagrange s Formula  .

     The Lagrange formula does not require equally spaced (equal distance between variable values) ,but there are difficulties .The degree of the collocation polynomial must be chosen at the outset , and compute polynomial terms known as Lagrange Coefficients to find So Lagrange Interpolation Formula .

      We will solve example on this method and then give exercise must be solve later .