# Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey

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## Ravi Agarwal, Martin Bohner and Allan Peterson: *Inequalities on Time Scales: A Survey*

Published $2001$, **Mathematical Inequalities & Applications**.

### Online copies

hosted by the University of Nebraska-Lincoln

### Contents

- 1. Unifying Continuous and Discrete Analysis
- 2. The time scales calculus
- 3. Hölder's inequality
- Theorem 3.1: Delta Hölder inequality
- Theorem 3.2: Delta Cauchy-Schwarz inequality
- Theorem 3.3: Delta Minkowski inequality

- Theorem 3.1: Delta Hölder inequality
- 4. Jensen's inequality
- Theorem 4.1: Delta Jensen inequality

- Theorem 4.1: Delta Jensen inequality
- 5. Gronwall's inequality
- Theorem 5.1: Delta Bernoulli inequality
- Theorem 5.6: Delta Gronwall inequality
- Theorem 5.8: Delta Bihari inequality

- 6. Opial's inequality
- Theorem 6.1 Delta Opial inequality

- 7. Lyapunov's inequality