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

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

Published $2001$, Mathematical Inequalities & Applications.

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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

4. Jensen's inequality

Theorem 4.1: Delta Jensen inequality

5. Gronwall's inequality

Theorem 5.1: Delta Bernoulli inequality

Delta Gronwall inequality

Delta Bihari inequality

6. Opial's inequality

Delta Opial inequality

7. Lyapunov's inequality