B B Guest Nov 12, 2010 #1 Let {f_n} be a sequence of differrentiable functions on a finite interval [a,b] s.t the functions and their derivatives are unformly bounded on [a,b]. Prove that {f_n} has a uniformly converging subsequence.
Let {f_n} be a sequence of differrentiable functions on a finite interval [a,b] s.t the functions and their derivatives are unformly bounded on [a,b]. Prove that {f_n} has a uniformly converging subsequence.
