Function Approximations

Definition

Function approximations are mathematical techniques used to estimate the value of a function at a particular point or within a certain range. They involve using simpler functions, such as polynomials, to closely mimic the behavior of the original function.

Related terms

Taylor Series: A Taylor series is an infinite sum of terms that represents a function as an approximation around a specific point. It allows us to approximate any smooth function with polynomials.

Series Approximation: Series approximation refers to representing a function as an infinite sum (series) of simpler functions. This technique is often used in calculus to estimate values or behaviors of functions.

Polynomial Interpolation: Polynomial interpolation is a method for constructing polynomial functions that pass through given data points. It involves finding the polynomial equation that best fits the given data set.