Difference between revisions of "Delta Bernoulli inequality"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a positively regressive constant. Then $$...")
 
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<strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a positively [[regressive]] constant. Then
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<strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a [[Regressive_function | positively regressive]] constant. Then
 
$$e_{\alpha} \geq 1 + \alpha(t-s)$$
 
$$e_{\alpha} \geq 1 + \alpha(t-s)$$
 
for all $t,s \in \mathbb{T}$.
 
for all $t,s \in \mathbb{T}$.

Revision as of 04:24, 6 September 2014

Theorem: Let $\alpha \in \mathbb{R}$ be a positively regressive constant. Then $$e_{\alpha} \geq 1 + \alpha(t-s)$$ for all $t,s \in \mathbb{T}$.

Proof: