# Difference between revisions of "Delta Bernoulli inequality"

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==References== | ==References== | ||

− | + | {{PaperReference|Inequalities on Time Scales: A Survey|2001|Ravi Agarwal|author2 = Martin Bohner| author3 = Allan Peterson|prev=findme|next=findme}}: Theorem 5.5 | |

{{:Delta inequalities footer}} | {{:Delta inequalities footer}} |

## Revision as of 00:32, 15 September 2016

## 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

Ravi Agarwal, Martin Bohner and Allan Peterson: *Inequalities on Time Scales: A Survey* (2001)... (previous)... (next): Theorem 5.5

## $\Delta$-Inequalities

Bernoulli |
Bihari | Cauchy-Schwarz | Gronwall | Hölder | Jensen | Lyapunov | Markov | Minkowski | Opial | Tschebycheff | Wirtinger |