On Subsums of Series with Positive Term

Pete Johnson, Connor Malin

Abstract


A necessary and sufficient condition for subsums of  a series \(\sum\limits_{k=1}^\infty a_k\), such that \(0 <a_k \rightarrow 0\) as \( k \rightarrow \infty\), cover the interval \([0,s]\), \(s=\sum\limits_{k=1}^\infty a_k\), is proved.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Alabama Journal of Mathematics