Difference between revisions of "Delta Bernoulli inequality"

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==References==
 
==References==
 
[http://www.math.unl.edu/~apeterson1/pub/ineq.pdf R. Agarwal, M. Bohner, A. Peterson - Inequalities on Time Scales: A Survey]
 
[http://www.math.unl.edu/~apeterson1/pub/ineq.pdf R. Agarwal, M. Bohner, A. Peterson - Inequalities on Time Scales: A Survey]
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{{:Delta inequalities footer}}

Revision as of 23:34, 28 March 2015

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