New posts in Approximation Theory

Why do deep neural networks work well?

Can we approximate any eigenvalue of an infinite matrix via eigenvalues of some sequence of submatrices which approximates the matrix?

Approximating smooth function on $[0,1]$ by Bernstein polynomial (interested in approximation rate in $L^2$ norm)

Relationship between Taylor and Weierstrass theorem

If $f\in C[0,1]$ and $A\subset[0,1]$ is finite, can $f$ be approximated uniformly by polynomials that coincide with $f$ on $A$?

Prove $|P(0)|\leq 2n+1$

Series expansion of the determinant for a matrix near the identity

Differentiable approximation of the absolute value function

Natural cubic spline interpolation error estimate

Approximating $\log x$ with roots