## You are here

Homeindex of inequalities

## Primary tabs

# index of inequalities

# Inequalities for reals and complex numbers

1. The triangle inequality. If $a,b,c$ are real numbers, then

$\bigl||a-c|-|b-c|\bigr|\leq|a-b|\leq|a-c|+|b-c|.$ 2. Nesbitt’s inequality

3. 4. Bernoulli’s inequality

5. Schur’s inequality

6.

# Inequalities in an inner product space

1. 2. 3. Peetre’s inequality

# Inequalities for sequences

1. 2. MacLaurin’s inequality

3. Carleman’s inequality

4. arithmetic-geometric-harmonic means inequality and the general means inequality

5. 6. Chebyshev’s inequality and the rearrangement inequality

7. Muirhead’s theorem

# Inequalities for functions

1. Jordan’s inequality for $\sin$

2. Jensen’s inequality

3. Gronwall’s inequality

4. Hölder inequality

5. Young’s inequality

6. Wirtinger’s inequality

# Geometric inequalities

1. Hadwiger-Finsler inequality

2. Weizenbock’s inequality

3. Brunn-Minkowski inequality

# Inequalities in number theory

# Matrix inequalities

1. 2. Hadamard’s inequality

3. Wielandt-Hoffman theorem

4. Weyl’s inequality

5.

# Inequalities for cardinal numbers

1. Cantor’s theorem

2. König’s theorem

# Inequalities for random variables

1. Markov’s inequality

2. Kolmogorov’s inequality

3.

# Inequalities in order theory

Related:

QuadraticInequality

Type of Math Object:

Topic

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

54C30*no label found*26-00

*no label found*12D99

*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff