Lectures related to Function Approximations

Explores the interpolation of a continuous function by a polynomial.

Explores limits, convergence, and boundedness of functions and sequences.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers extreme values of continuous functions on compact sets and differentiability.

Explores linear operations, convergence, sequences, and compact sets in mathematical analysis.

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Explores the Heat Kernel and Gaussian analysis in solving the heat equation.

Explores Cauchy test, generators, and density in functional analysis.

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.