What is Gregory Newton’s Formula?
Gregory-Newton’s Formula refers to a family of interpolation formulas that approximate a function based on a set of known data points. The formulas are named after mathematicians James Gregory and Isaac Newton, who independently developed similar interpolation techniques. The Gregory Newton’s Formula image is add
Gregory Newton Interpolation Formula
Gregory-Newton interpolation formulas are particularly useful when you have a set of discrete data points and you want to estimate the value of the function between these data points. These formulas provide a polynomial function that passes through all given data points, allowing for interpolation within the range of the data.
Gregory Newton Interpolation Formula
Newton-Gregory Forward Interpolation Formula is an interpolation method when our data points are evenly spaced. Interpolation is a method in maths used to make educated guesses about values between two points we already know. We can say that the Gregory–Newton forward difference formula involves finite differences that give an approximate value for f(x), where x = x0 + θ.h, and 0 < θ <1. Approximation of f(x) ≈ f0 + θ.Δf0 gives the result of Linear Interpolation.
Here in this article learn about, the Newton-Gregory Interpolation Formula, its Examples, and others in detail.
Table of Content
- What is Gregory Newton’s Formula?
- Gregory Newton Forward Formula
- Gregory Newton Backward Formula
- Applications Of Gregory Newton Formula
- Examples on Gregory Newton Difference Formula
- Practice Questions on Gregory Newton’s Formula
- Gregory Newton Formula FAQs
Contact Us