Difference between revisions of "Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey"
From timescalewiki
Line 14: | Line 14: | ||
::Theorem 4.1: [[Delta Jensen inequality]]<br /> | ::Theorem 4.1: [[Delta Jensen inequality]]<br /> | ||
:5. Gronwall's inequality | :5. Gronwall's inequality | ||
+ | ::Theorem 5.1: [[Delta Bernoulli inequality]] | ||
::[[Delta Gronwall inequality]] | ::[[Delta Gronwall inequality]] | ||
::[[Delta Bihari inequality]] | ::[[Delta Bihari inequality]] |
Revision as of 00:33, 15 September 2016
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
- 6. Opial's inequality
- 7. Lyapunov's inequality