Approximation theory

Related lectures (32)

Page 3 of 4

Covers the embedding of spaces and the completeness of spaces, exploring the connection between interpolation theory and approximation theory.

Introduces Taylor polynomials for function approximation, starting with linear and quadratic forms and then generalizing to higher orders.

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.

Explores Taylor approximation of functions using polynomials and matrices for quadratic approximation.

Covers linear systems, non-linear equations, and interpolation for numerical analysis.

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Covers the interpolation of functions using Lagrange polynomials and error analysis, emphasizing the dependence on the function.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Explores the interpolation of a continuous function by a polynomial.