This preview shows page 1. Sign up to view the full content.
Unformatted text preview: { f n : n N } is equicontinuous. 5. In each of the following cases, decide for which real a < b the indicated family of functions is (uniformly) dense in C ([ a,b ]). (i) All polynomials of the form c + c 1 t 2 + + c n t 2 n . (ii) All functions of the form c + c 1 t 1 / 5 + + c n t n/ 5 . (iii) All functions of the form c + c 1 e t + + c n e nt . Here, n runs over all nonnegative integers and the coecients c ,c 1 ,...,c n are real. 1...
View Full
Document
 Spring '11
 Robinson

Click to edit the document details