Approximation of Functions

Related lectures (32)

Page 1 of 4

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Covers the least squares method for approximating data and handling errors.

Introduces the problem of interpolation and demonstrates challenges with adding more points.

Covers the convergence theorems for interpolation and the application of polynomials for equispaced points.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Explores the uniqueness of interpolation polynomials and the role of distinct data points in the interpolation process.

Covers Lagrange interpolation, focusing on constructing polynomials that pass through given points.

Explains the Lagrange interpolation method for arbitrary n and constructing polynomials through given points.

Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.

Explains Lagrange interpolation with M=2, covering base polynomials and linear independence.