Difference between revisions of "Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey"

Latest revision as of 22:44, 10 February 2017

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

4. Jensen's 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