Difference between revisions of "Delta Bernoulli inequality"
From timescalewiki
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| − | + | ==Theorem== | |
| − | + | 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 $t,s \in \mathbb{T}$. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | |||
| − | |||
==References== | ==References== | ||
Revision as of 23:35, 14 September 2016
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
References
R. Agarwal, M. Bohner, A. Peterson - Inequalities on Time Scales: A Survey
$\Delta$-Inequalities
| Bernoulli | Bihari | Cauchy-Schwarz | Gronwall | Hölder | Jensen | Lyapunov | Markov | Minkowski | Opial | Tschebycheff | Wirtinger |
