Mozyrska-Torres logarithm is positive on (1,infinity)

Theorem

Let $\mathbb{T}$ be a time scale. If $t \in (1,\infty) \cap \mathbb{T}$, then $L_{\mathbb{T}}(t) > 0$, where $L_{\mathbb{R}}$ denotes the Mozyrska-Torres logarithm.

References

Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2009)... (previous)... (next)