Is Sigma(y(n)) Absolutely Convergent if y(n) = O(x(n))?

[penguin007]

Hi,

assume sigma(x(n)) is an absolutly convergent series and that y(n)=O(x(n)), then can we conclude that sigma(y(n)) is absolutly convergent?


thanks

 

[HallsofIvy]

Yes. That is pretty close to being the definition of "O".

 

[penguin007]

thanks again