Notes on Interpolation Formulae

Lagrangian Interpolation Formula

Ailtieen`s Interpolation Formula

Hermit`s Interpolation Formula

Section 1. Introduction: Assume we are given n+1 values of a dependent variable "f" corresponding to n+1 values of independent variable "a". Denote these variables respectively f(a), ај for j=1,2,...,n+1. Then it is possible to construct a polynomial of degree n. f(x)=Ao + A + A2+ 0.0 + Apx. Such that: f(x)= f(ag) at X =ajo For numerical application, a more convenient form for the polynomial f(x) is needed, which is derived in the following section.