On the convergence of some particular series

Year, pages: 2004, 169 - 177

We investigate the interrelationships of eight closely related properties of sequences in $]0, 1]$ formulated in terms of the convergence of some particular series.

The obtained results can be used to easily prove some slight extensions of the essential parts of our former convergence theorems on the series $∑ a_n^1-x_n/n$ and $∑ a_n^{1-x_n/łog(1+n)}$.

Pataki, G. 2004. On the convergence of some particular series. In Tatra Mountains Mathematical Publications, vol. 28, no.2, pp. 169-177. 1210-3195.

Pataki, G. (2004). On the convergence of some particular series. Tatra Mountains Mathematical Publications, 28(2), 169-177. 1210-3195.