Difference between revisions of "Mozyrska-Torres logarithm is increasing"
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==References== | ==References== | ||
{{PaperReference|The Natural Logarithm on Time Scales|2008|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm on the reals|next=Mozyraska-Torres logarithm is negative on (0,1)}} | {{PaperReference|The Natural Logarithm on Time Scales|2008|Dorota Mozyrska|author2 = Delfim F. M. Torres|prev=Mozyrska-Torres logarithm on the reals|next=Mozyraska-Torres logarithm is negative on (0,1)}} | ||
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+ | [[Category:Theorem]] | ||
+ | [[Category:Unproven]] |
Latest revision as of 15:13, 21 January 2023
Theorem
Let $\mathbb{T}$ be a time scale. For all $t \in \mathbb{T}^{\kappa} \cap (0,\infty)$, $t \mapsto L_{\mathbb{T}}(t)$ is an increasing function.
Proof
References
Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2008)... (previous)... (next)