3. Gregory-Newton Interpolating Polynomial

Learning Objectives:

After completing this chapter, you should be able to:

• Use a general sequence to represent a function on a discrete domain

• Calculate finite differences for a given sequence

• Estimate function values by using Gregory-Newton forward and backward interpolation formulae

• 3.1. Introduction
• 3.2. Finite Difference Operators
• 3.3. Gregory-Newton Interpolation Formulae
• 3.4. Finite Difference Tables
• 3.5. Chapter 3 Exercises