quasi
Posts:
10,660
Registered:
7/15/05


Re: analysis question on periodic functions
Posted:
Aug 19, 2013 2:25 PM


quasi wrote: > >Followup question: > >Does there exist an element a in R and a function f:R > R, >where f is odd, continuous, and periodic with period 1, such >that, letting S_k = f(a) + f(2*a) + ... + f(k*a), the sequence >S_1,S_2,S_3, ... is unbounded?
Conjecture:
(1) Yes.
(2) No if f is continuously differentiable.
quasi

