Difference between revisions of "Delta derivative of Mozyrska-Torres logarithm"
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==Theorem== | ==Theorem== | ||
Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: | Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: | ||
| − | $$L_{\mathbb{T}}^{\Delta}(t) = \dfrac{1}{t} | + | $$L_{\mathbb{T}}^{\Delta}(t) = \dfrac{1}{t},$$ |
| + | where $L_{\mathbb{T}}$ denotes the [[Mozyrska-Torres logarithm]]. | ||
==Proof== | ==Proof== | ||
Revision as of 20:55, 17 September 2016
Theorem
Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}^{\Delta}(t) = \dfrac{1}{t},$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-Torres logarithm.
