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 $$...") |
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− | <strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a | + | <strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a [[Regressive_function | positively regressive]] constant. Then |
$$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: █