On Birman's sequence of Hardy-Rellich-type inequalities

Fritz Gesztesy, Lance L. Littlejohn, Isaac Michael +1

In 1961, Birman proved a sequence of inequalities $\{I_n\},$ for $n\in \mathbb{N},$ valid for functions in $C_0^n((0,\infty ))\subset L^2((0,\infty )).$ In particular, $I_1$ i…