Let {bn} be an arbitrary positive sequence tending to zero. Prove that for your definition in Problem 3.7 the sequence                 bnan = bnn− 2p 2p+d  is an individual lower rate of convergence...

Let {bn} be an arbitrary positive sequence tending to zero. Prove that for your definition in Problem 3.7 the sequence

                bnan = bnn− 2p 2p+d

 is an individual lower rate of convergence for the class D(p,C) .

Give a definition of individual lower rates of convergence using tail probabilities.