# Delta Bernoulli inequality

From timescalewiki

## Theorem

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

## 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 |