Let ffunction in open interval (-r,r), when r>0.2times differentiable

There are two numbers M,N>0 so that |f ''(x)|<=N , |f(x)|<=M for all x in (-r,r).

Prove that |f ' (0) | <= 2sqrt(M*N) + 2*M/r

Printable View

- March 3rd 2010, 11:39 AMAlso sprach ZarathustraLandau inequality
Let f

function in open interval (-r,r), when r>0.*2*times differentiable

There are two numbers M,N>0 so that |f ''(x)|<=N , |f(x)|<=M for all x in (-r,r).

Prove that |f ' (0) | <= 2sqrt(M*N) + 2*M/r