Difference between revisions of "Rd-continuous implies regulated"
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* {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Continuous implies rd-continuous|next=Forward jump is rd-continuous}}: Theorem $1.60(ii)$ | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Continuous implies rd-continuous|next=Forward jump is rd-continuous}}: Theorem $1.60(ii)$ | ||
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Latest revision as of 23:28, 4 January 2017
Theorem
Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. If $f$ is continuous, then $f$ is regulated.
Proof
References
- Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): Theorem $1.60(ii)$
