New posts in Approximation Theory

Why is $(\sqrt{2}+\sqrt{3})^{2008}$ so close to an integer?

Is Ramanujan's approximation for the factorial optimal, or can it be tweaked? (answer below)

Why does $ \frac{2x}{2+x}$ provide a particularly tight lower bound for $\ln(1+x)$ for small positive values of $x$?

How close can $\sum_{k=1}^n \sqrt{k}$ be to an integer?

How do I find a Bezier curve that goes through a series of points?

Approximation of analytic function by a fixed number of monomials

Why the sequence of Bernstein polynomials of $\sqrt x$ is increasing?

Approximating by incrementing positive integers

Approximation of smooth diffeomorphisms by polynomial diffeomorphisms?

Best constant approximation in $L^p(\Omega)$