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

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(Created page with "{{Book|Inequalities on Time Scales: A Survey|2001|Mathematical Inequalities & Applications||Ravi Agarwal|author2 = Martin Bohner| author3 = Allan Peterson}} ===Online copies=...")
 
 
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===Contents===
 
===Contents===
 +
:1. Unifying Continuous and Discrete Analysis
 +
:2. The time scales calculus
 +
:3. Hölder's inequality
 +
::Theorem 3.1: [[Delta Hölder inequality]] <br />
 +
::Theorem 3.2: [[Delta Cauchy-Schwarz inequality]]<br />
 +
::Theorem 3.3: [[Delta Minkowski inequality]]<br />
 +
:4. Jensen's inequality
 +
::Theorem 4.1: [[Delta Jensen inequality]]<br />
 +
: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
 +
 +
[[Category:Paper]]

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
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