Difference between revisions of "Mozyraska-Torres logarithm is negative on (0,1)"

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==References==
 
==References==
{{PaperReference|The Natural Logarithm on Time Scales|2009|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm is increasing|next=Mozyrska-Torres logarithm is positive on (1,infinity)}}
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{{PaperReference|The Natural Logarithm on Time Scales|2008|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm is increasing|next=Mozyrska-Torres logarithm is positive on (1,infinity)}}

Latest revision as of 15:27, 21 October 2017

Theorem

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

Proof

References

Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2008)... (previous)... (next)