Ganitagya Gyanam

 Newton Interpolation method is used to solve the interpolation with equally spaced intervals. This method has many applications in mathematics and other branches.

Inverse Interpolation is the process of estimating the value of x for a given value of y . The Lagrange formula is used to solve the inverse interpolation. The difference between the interpolation and inverse interpolation that in Interpolation we find the value of y and in inverse interpolation, we find the value of x.   

 Interpolation with unevenly spaced points will be discussed in this article. We have two methods to solve the interpolation with unevenly spaced points.  1. Lagrange's method 2. Newton's divided difference formula. We will discuss a few examples depending on these methods. Lastly, we will provide a few examples for practice.